Statistics Questions and Answers

Findne median for the following data set 102 56 34 99 89 101 10 54 Please provide EXACTLY one decimal place
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Findne median for the following data set 102 56 34 99 89 101 10 54 Please provide EXACTLY one decimal place
1 0 17 aanne S 6 7 Z be a random variable with a standard normal distribution Find the probability that is greater than 0 TABLE 1 continued 5000 5398 5793 6179 6554 6915 7257 7580 7881 8159 8413 8643 5040 5832 6591 7611 7910 8438 LEPRA 3080 5478 5871 6255 6628 6985 7939 8212 5120 5517 5910 6293 6664 7019 7357 7673 7967 POM 04 5160 5557 5948 6700 7389 8264 8508 8729 05 5199 5596 5987 6368 6736 7088 7422 7734 8023 8289 8749 06 5239 5636 6026 6406 6772 in 5279 3675 1909 5443 5808 7123 7454 7764 7794 8051 8078 8315 7157 OPEN 8554 8577 8770 8962 5319 STIA 6100 5430 1844 7190 7517 8106 8065 8790 3810 8980 3133
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1 0 17 aanne S 6 7 Z be a random variable with a standard normal distribution Find the probability that is greater than 0 TABLE 1 continued 5000 5398 5793 6179 6554 6915 7257 7580 7881 8159 8413 8643 5040 5832 6591 7611 7910 8438 LEPRA 3080 5478 5871 6255 6628 6985 7939 8212 5120 5517 5910 6293 6664 7019 7357 7673 7967 POM 04 5160 5557 5948 6700 7389 8264 8508 8729 05 5199 5596 5987 6368 6736 7088 7422 7734 8023 8289 8749 06 5239 5636 6026 6406 6772 in 5279 3675 1909 5443 5808 7123 7454 7764 7794 8051 8078 8315 7157 OPEN 8554 8577 8770 8962 5319 STIA 6100 5430 1844 7190 7517 8106 8065 8790 3810 8980 3133
A patient visits her doctor with concerns about her blood pressure If the systolic blood pressure exceeds 150 the patient is considered to have high blood pressure and medication may be prescribed The problem is that there is a considerable variation in a patient s systolic blood pressure readings during a given day It is known that a patient s systolic readings during a given day have a normal distribution with a mean of 160 mm mercury and a standard deviation of 20 mm If ten measurements are taken at various times during the day what is the probability that the average blood pressure reading will be more than 150 0 0569 O 0 9431 0 8682
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A patient visits her doctor with concerns about her blood pressure If the systolic blood pressure exceeds 150 the patient is considered to have high blood pressure and medication may be prescribed The problem is that there is a considerable variation in a patient s systolic blood pressure readings during a given day It is known that a patient s systolic readings during a given day have a normal distribution with a mean of 160 mm mercury and a standard deviation of 20 mm If ten measurements are taken at various times during the day what is the probability that the average blood pressure reading will be more than 150 0 0569 O 0 9431 0 8682
Consider the following 3 datasets and choose ALL the correct and or true statement s Dataset A 0 1 0 2 0 3 Dataset B 1 2 3 Dataset C 200 201 203 All datasets have the same standard deviation Dataset B has a higher bigger standard deviation than that of Dataset A Datasets B and C have the same standard deviation Dataset C has the highest biggest standard deviation
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Consider the following 3 datasets and choose ALL the correct and or true statement s Dataset A 0 1 0 2 0 3 Dataset B 1 2 3 Dataset C 200 201 203 All datasets have the same standard deviation Dataset B has a higher bigger standard deviation than that of Dataset A Datasets B and C have the same standard deviation Dataset C has the highest biggest standard deviation
After a late night of math studying you and your friends decide to go to your favorite tax free fast food Mexican restaurant Burrito Chime You decide to order off of the dollar menu which has 10 items Your group has 20 to spend and will spend all of it a How many different orders are possible The order in which the order is placed does not matter just which and how many of each item that is ordered C 29 9 b How many different orders are possible if you want to get at least one of each item C Incorrect different orders are possible if you don t get more than 4 of any one item
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After a late night of math studying you and your friends decide to go to your favorite tax free fast food Mexican restaurant Burrito Chime You decide to order off of the dollar menu which has 10 items Your group has 20 to spend and will spend all of it a How many different orders are possible The order in which the order is placed does not matter just which and how many of each item that is ordered C 29 9 b How many different orders are possible if you want to get at least one of each item C Incorrect different orders are possible if you don t get more than 4 of any one item
2 Maximize 91 x xy 16y2 subject to the constraint 12 x 3y 0 The maximum value of 91 x xy 16y subject to the constraint 12 x 3y 0 is Type an exact answer in simplified form 2
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2 Maximize 91 x xy 16y2 subject to the constraint 12 x 3y 0 The maximum value of 91 x xy 16y subject to the constraint 12 x 3y 0 is Type an exact answer in simplified form 2
3 2 pts In General would it be better to trust a linear model with a correlation coefficient of r 0 7 or one with a correlation coefficient r 0 9 Briefly explain
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3 2 pts In General would it be better to trust a linear model with a correlation coefficient of r 0 7 or one with a correlation coefficient r 0 9 Briefly explain
4 2 pts The following Scatterplot has an r value of 0 5446 Write a sentence or two about the relationship between these variables Justify your response
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4 2 pts The following Scatterplot has an r value of 0 5446 Write a sentence or two about the relationship between these variables Justify your response
Graph the following function by starting with the graph of x and using transformations shifting compressing stretching and or reflection 1 2 f x x x x 4 4 Select all the transformations that are needed to graph the given function using y x A Compress the graph vertically by a factor of 1 1 9 B Shift the graph down units 2 c Reflect the graph about the y axis
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Graph the following function by starting with the graph of x and using transformations shifting compressing stretching and or reflection 1 2 f x x x x 4 4 Select all the transformations that are needed to graph the given function using y x A Compress the graph vertically by a factor of 1 1 9 B Shift the graph down units 2 c Reflect the graph about the y axis
Click here to watch the video In the function f x 2 x 3 In the function f x 2 x 2 13 the shifts the graph 2 2 2 x 3 13 the 3 3 shifts the graph and the 13 2 shifts the graph 13 down and the shifts the graph
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Click here to watch the video In the function f x 2 x 3 In the function f x 2 x 2 13 the shifts the graph 2 2 2 x 3 13 the 3 3 shifts the graph and the 13 2 shifts the graph 13 down and the shifts the graph
This question 2 point s possible A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050 approximately 83 4 million Americans will be at least 65 The bar graph shows the estimated number of Americans with projected figures for the year 2020 and beyond A graphing calculator screen displays an exponential function that models the U S population age 65 and over y in millions x years after 1899 Use this information to solve a d below Click the icon to view the bar graph Does this rounded number overestimate or underestimate the 2010 population displayed by the bar graph By how much Choose the correct answer below and fill in the answer box to complete your choice Type an integer or decimal rounded to one decimal place as needed O A The rounded number underestimates the 2010 population by B The rounded number overestimates the 2010 population by million million d According to the model in part b how many Americans age 65 and over will there be in 2020 million Type an integer or decimal rounded to one decimal place as needed Submit quiz million ExpReg y a b x a 3 4965901785 b 1 022949151 Does this rounded number overestimate or underestimate the 2020 population projection displayed by the bar graph By how much Choose the correct answer below and fill in the answer box to complete your choice Type an integer or decimal rounded to one decimal place as needed A The rounded number underestimates the population by million B The rounded number overestimates the population by
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This question 2 point s possible A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050 approximately 83 4 million Americans will be at least 65 The bar graph shows the estimated number of Americans with projected figures for the year 2020 and beyond A graphing calculator screen displays an exponential function that models the U S population age 65 and over y in millions x years after 1899 Use this information to solve a d below Click the icon to view the bar graph Does this rounded number overestimate or underestimate the 2010 population displayed by the bar graph By how much Choose the correct answer below and fill in the answer box to complete your choice Type an integer or decimal rounded to one decimal place as needed O A The rounded number underestimates the 2010 population by B The rounded number overestimates the 2010 population by million million d According to the model in part b how many Americans age 65 and over will there be in 2020 million Type an integer or decimal rounded to one decimal place as needed Submit quiz million ExpReg y a b x a 3 4965901785 b 1 022949151 Does this rounded number overestimate or underestimate the 2020 population projection displayed by the bar graph By how much Choose the correct answer below and fill in the answer box to complete your choice Type an integer or decimal rounded to one decimal place as needed A The rounded number underestimates the population by million B The rounded number overestimates the population by
Note that an Ace is considered a face card for this problem In drawing a single card from a regular deck of 52 cards we have a P black and a Queen b P black or a 3 0 56 c P black and a face card d P Queen and a 3 52 26 52 e P face card or a number card 21 26
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Note that an Ace is considered a face card for this problem In drawing a single card from a regular deck of 52 cards we have a P black and a Queen b P black or a 3 0 56 c P black and a face card d P Queen and a 3 52 26 52 e P face card or a number card 21 26
A random sample of beef hotdogs was taken and the calories and amount of sodium in mg were measured The data are shown in the table Calories 159 114 177 178 180 133 174 166 155 Sodium 401 162 503 435 462 293 501 412 384 The least squares regression equation y 342 15 4 62x models the relationship between the two variables where is the number of calories and y is the amount of sodium a Predict the amount of sodium for the hotdog in the table that has 180 calories Round to two decimal places b Find the error for the sodium prediction in part a Round to two decimal places
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A random sample of beef hotdogs was taken and the calories and amount of sodium in mg were measured The data are shown in the table Calories 159 114 177 178 180 133 174 166 155 Sodium 401 162 503 435 462 293 501 412 384 The least squares regression equation y 342 15 4 62x models the relationship between the two variables where is the number of calories and y is the amount of sodium a Predict the amount of sodium for the hotdog in the table that has 180 calories Round to two decimal places b Find the error for the sodium prediction in part a Round to two decimal places
In a survey of 314 people the following data were obtained relating gender to political orientation Republican R Democrat D Libertarian L Total 94 150 85 164 179 314 Male M Femal F Total 46 69 115 10 10 20 A person is randomly selected What is the probability that the person is a Male b Male and a Democrat c Male given that the person is a Democrat d Republican given that the person is Male e Female given that the person is a Libertarian f Are the events Male and Republican independent Enter yes or no
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In a survey of 314 people the following data were obtained relating gender to political orientation Republican R Democrat D Libertarian L Total 94 150 85 164 179 314 Male M Femal F Total 46 69 115 10 10 20 A person is randomly selected What is the probability that the person is a Male b Male and a Democrat c Male given that the person is a Democrat d Republican given that the person is Male e Female given that the person is a Libertarian f Are the events Male and Republican independent Enter yes or no
If P A 0 3 P B 0 2 and P AUB 0 5 then P ANB a Are events A and B independent enter YES or NO b Are A and B mutually exclusive enter YES or NO
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If P A 0 3 P B 0 2 and P AUB 0 5 then P ANB a Are events A and B independent enter YES or NO b Are A and B mutually exclusive enter YES or NO
0 24 0 35 At least one of the answers above is NOT correct 0 24 0 35 The owner of an appliance store is interested in the relationship between the price at which an item is sold regular or sale price and the customer s decision on whether to purchase and extended warranty After analyzing her records she produced the following joint probabilities Purchased Did not purchase extended warranty extended warranty 0 24 0 11 0 53 0 12 correct Regular Price Sale Price A What is the probability that a customer who bought an item at the regular price purchased the extended warranty Probability 0 24 B What is the probability that a customer buys an extended warranty Probability 0 35
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0 24 0 35 At least one of the answers above is NOT correct 0 24 0 35 The owner of an appliance store is interested in the relationship between the price at which an item is sold regular or sale price and the customer s decision on whether to purchase and extended warranty After analyzing her records she produced the following joint probabilities Purchased Did not purchase extended warranty extended warranty 0 24 0 11 0 53 0 12 correct Regular Price Sale Price A What is the probability that a customer who bought an item at the regular price purchased the extended warranty Probability 0 24 B What is the probability that a customer buys an extended warranty Probability 0 35
Events A and B are mutually exclusive P A 0 5 and P B 0 5 Find P AUB to one decimal place P AUB
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Events A and B are mutually exclusive P A 0 5 and P B 0 5 Find P AUB to one decimal place P AUB
hoppers can pay for their purchases with cash a credit card or a debit card Suppose that the proprietor of a shop determines that 58 of her customers use a credit card pay with cash and the rest use a debit card What is the probability that a customer does not use a credit card What is the probability that a customer pays in cash or with a credit card
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hoppers can pay for their purchases with cash a credit card or a debit card Suppose that the proprietor of a shop determines that 58 of her customers use a credit card pay with cash and the rest use a debit card What is the probability that a customer does not use a credit card What is the probability that a customer pays in cash or with a credit card
What is the intermediate step in the form x a b as a result of completing the square for the following equation 3x 6x 321 Answer Attempt 1 out of 2 B
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What is the intermediate step in the form x a b as a result of completing the square for the following equation 3x 6x 321 Answer Attempt 1 out of 2 B
Birinci ki iye ikinci ki iye nc ki iye D rd nc ki iye Bir araba Bir hafta tam pansiyon tatil Plazma TV 1000 TL hediye eki Bir s permarketler zinciri kurulu unun 10 y d n m nedeniyle m terilerine ekili le yuka ridaki tabloda verilen hediyeleri da tacakt r Bu hediyelerin ekili e kat lmaya hak kazanan m teriler aras ndan se ilen 25 finaliste ka farkl ekilde verilebilece ini bulunuz
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Birinci ki iye ikinci ki iye nc ki iye D rd nc ki iye Bir araba Bir hafta tam pansiyon tatil Plazma TV 1000 TL hediye eki Bir s permarketler zinciri kurulu unun 10 y d n m nedeniyle m terilerine ekili le yuka ridaki tabloda verilen hediyeleri da tacakt r Bu hediyelerin ekili e kat lmaya hak kazanan m teriler aras ndan se ilen 25 finaliste ka farkl ekilde verilebilece ini bulunuz
This question 2 point s possible A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drinking soda Some drank caffeine free some drank regular and others drank a mixture of the two getting a half dose of caffeine The 5 number summaries for each group s scores number of items recalled correctly on the memory test are shown below Complete parts a through d No Caffeine Low Caffeine High Caffeine SERVIC OA Scores 30 n 15 15 HOH HOH 15 HOCH NLH Min 16 15 13 b Name the variables and classify each as categorical or quantitative The two variables are the type of drink c Create side by side boxplots to display these results as best you can with this information Create side by side boxplots where N represents the group with no caffeine L the group with low caffeine and H the group with high caffeine Choose the correct graph below O C Q Q and the test score OB Scores 30 25 Q1 17 18 15 KOCH HOHO N y HO H Q ON Median 21 22 18 Il now 11 viivy which are categorical and quantitative variables respectively Scores HOHox HOH N L d Write a few sentences comparing the performances of the three groups The medians for these two groups were The participants scored about the same with generally scored lower than the other two groups on all measures of the 5 number summary OTH H Q Q Q3 23 23 22 O D Scores annond with slightly more variation in HDH Z HOH HIHI Q Submit test Max 27 27 23 The
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This question 2 point s possible A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drinking soda Some drank caffeine free some drank regular and others drank a mixture of the two getting a half dose of caffeine The 5 number summaries for each group s scores number of items recalled correctly on the memory test are shown below Complete parts a through d No Caffeine Low Caffeine High Caffeine SERVIC OA Scores 30 n 15 15 HOH HOH 15 HOCH NLH Min 16 15 13 b Name the variables and classify each as categorical or quantitative The two variables are the type of drink c Create side by side boxplots to display these results as best you can with this information Create side by side boxplots where N represents the group with no caffeine L the group with low caffeine and H the group with high caffeine Choose the correct graph below O C Q Q and the test score OB Scores 30 25 Q1 17 18 15 KOCH HOHO N y HO H Q ON Median 21 22 18 Il now 11 viivy which are categorical and quantitative variables respectively Scores HOHox HOH N L d Write a few sentences comparing the performances of the three groups The medians for these two groups were The participants scored about the same with generally scored lower than the other two groups on all measures of the 5 number summary OTH H Q Q Q3 23 23 22 O D Scores annond with slightly more variation in HDH Z HOH HIHI Q Submit test Max 27 27 23 The
Use the range rule of thumb to identify the values that are significantly low the values that are signficantly high and the values that are neither significantly low nor significantly high A test is used to assess readiness for college In a recent year the mean test score was 19 8 and the standard deviation was 5 4 Identify the test scores that are significantly low or significantly high What test scores are significantly low Select the correct answer below and fill in the answer box es to complete your choice Nound to one decimal place as needed Use ascending order Round to one decimal place as needed Round to one decimal place as needed A Test scores that are between OB Test scores that are greater than C Test scores that are less than GOOOD and
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Use the range rule of thumb to identify the values that are significantly low the values that are signficantly high and the values that are neither significantly low nor significantly high A test is used to assess readiness for college In a recent year the mean test score was 19 8 and the standard deviation was 5 4 Identify the test scores that are significantly low or significantly high What test scores are significantly low Select the correct answer below and fill in the answer box es to complete your choice Nound to one decimal place as needed Use ascending order Round to one decimal place as needed Round to one decimal place as needed A Test scores that are between OB Test scores that are greater than C Test scores that are less than GOOOD and
A data set lists weights lb of plastic discarded by households The highest weight is 5 62 lb the of the weights is s 1 761 lb a What is the difference between the weight of 5 62 lb and the mean of the weights b How many standard deviations is that the difference found in part a c Convert the weight of 5 62 lb to a z score d If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high is the weight of 5 62 lb significant a The difference is 3 298 lb Type an integer or a decimal Do not round b The difference is 1 87 standard deviations Round to two decimal places as needed mean of all of the weights is x 2 322 lb and the standard deviat c The z score is z Round to two decimal places as needed
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A data set lists weights lb of plastic discarded by households The highest weight is 5 62 lb the of the weights is s 1 761 lb a What is the difference between the weight of 5 62 lb and the mean of the weights b How many standard deviations is that the difference found in part a c Convert the weight of 5 62 lb to a z score d If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high is the weight of 5 62 lb significant a The difference is 3 298 lb Type an integer or a decimal Do not round b The difference is 1 87 standard deviations Round to two decimal places as needed mean of all of the weights is x 2 322 lb and the standard deviat c The z score is z Round to two decimal places as needed
Using the accompanying table of data blood platelet counts of women have a bell shaped distribution with a mean of 255 2 and a standard deviation of 65 5 All unit re 1000 cells L Using Chebyshev s theorem what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean What are the minimum and maximum possible platelet counts that are within 2 standard deviations of the mean Click the icon to view the table of platelet counts Using Chebyshev s theorem what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean At least of women have platelet counts within 2 standard deviations of the mean Round to the nearest integer as needed
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Using the accompanying table of data blood platelet counts of women have a bell shaped distribution with a mean of 255 2 and a standard deviation of 65 5 All unit re 1000 cells L Using Chebyshev s theorem what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean What are the minimum and maximum possible platelet counts that are within 2 standard deviations of the mean Click the icon to view the table of platelet counts Using Chebyshev s theorem what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean At least of women have platelet counts within 2 standard deviations of the mean Round to the nearest integer as needed
A data set lists weights lb of plastic discarded by households The highest weight is 5 62 lb the mean of all of the weights is x 2 322 lb and the standard deviation of the weights is s 1 761 lb a What is the difference between the weight of 5 62 lb and the mean of the weights b How many standard deviations is that the difference found in part a c Convert the weight of 5 62 lb to a z score d If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high is the weight of 5 62 lb significant a The difference is lb Type an integer or a decimal Do not round LXD
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A data set lists weights lb of plastic discarded by households The highest weight is 5 62 lb the mean of all of the weights is x 2 322 lb and the standard deviation of the weights is s 1 761 lb a What is the difference between the weight of 5 62 lb and the mean of the weights b How many standard deviations is that the difference found in part a c Convert the weight of 5 62 lb to a z score d If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high is the weight of 5 62 lb significant a The difference is lb Type an integer or a decimal Do not round LXD
How many points do football teams score in the Super Bowl The total numbers of points scored by both teams in 50 of the first 54 Super Bowl games are as shown Complete parts a through c 45 47 23 30 27 21 31 22 38 46 37 66 50 37 47 44 47 54 56 59 52 36 65 39 61 69 43 75 44 56 55 53 39 41 37 69 61 45 31 46 50 48 56 38 65 52 34 74 16 51 G a Find the median The median is point s Type an integer or a decimal Do not round b Find the quartiles The lower quartile is point s Type an integer or a decimal Do not round The upper quartile is point s Type an integer or a decimal Do not round c Make a histogram and write a brief description of the distribution Make a histogram Choose the correct graph below O Click here to view histogram b O Click here to view histogram c Click here to view histogram d O Click here to view histogram a Write a brief description of the distribution The distribution is and has CO It is centered at The minimum is and the maximum is
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How many points do football teams score in the Super Bowl The total numbers of points scored by both teams in 50 of the first 54 Super Bowl games are as shown Complete parts a through c 45 47 23 30 27 21 31 22 38 46 37 66 50 37 47 44 47 54 56 59 52 36 65 39 61 69 43 75 44 56 55 53 39 41 37 69 61 45 31 46 50 48 56 38 65 52 34 74 16 51 G a Find the median The median is point s Type an integer or a decimal Do not round b Find the quartiles The lower quartile is point s Type an integer or a decimal Do not round The upper quartile is point s Type an integer or a decimal Do not round c Make a histogram and write a brief description of the distribution Make a histogram Choose the correct graph below O Click here to view histogram b O Click here to view histogram c Click here to view histogram d O Click here to view histogram a Write a brief description of the distribution The distribution is and has CO It is centered at The minimum is and the maximum is
Listed below are prices in dollars for one night at different hotels in a certain region Find the range variance and standard deviation for the given sample data Include appropriate units in the results How useful are the measures of variation for someone searching for a room 162 147 292 The range of the sample data is 185 dollars Round to one decimal place as needed The standard deviation of the sample data is Round to one decimal place as needed Be VI 177 274 OCCA 107 220 235
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Listed below are prices in dollars for one night at different hotels in a certain region Find the range variance and standard deviation for the given sample data Include appropriate units in the results How useful are the measures of variation for someone searching for a room 162 147 292 The range of the sample data is 185 dollars Round to one decimal place as needed The standard deviation of the sample data is Round to one decimal place as needed Be VI 177 274 OCCA 107 220 235
Find the a mean b median c mode and d midrange for the data and then e Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team What do the results tell us 64 93 47 12 58 56 80 67 68 18 22 The midrange is 52 5 Type an integer or a decimal rounded to one decimal place as needed e What do the results tell us O A Since only 11 of the jersey numbers were in the Sample the statistics cannot give any meaningful results B The mean and median give two different interpretations of the average or typical jersey number while the midrange shows the spread of possible jersey numbers OC The midrange gives the average or typical jersey number while the mean and median give two different interpretations of the spread of possible jersey numbers D The jersey numbers are nominal doto
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Find the a mean b median c mode and d midrange for the data and then e Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team What do the results tell us 64 93 47 12 58 56 80 67 68 18 22 The midrange is 52 5 Type an integer or a decimal rounded to one decimal place as needed e What do the results tell us O A Since only 11 of the jersey numbers were in the Sample the statistics cannot give any meaningful results B The mean and median give two different interpretations of the average or typical jersey number while the midrange shows the spread of possible jersey numbers OC The midrange gives the average or typical jersey number while the mean and median give two different interpretations of the spread of possible jersey numbers D The jersey numbers are nominal doto
01 O 1 5 Question 3 If the distribution is skewed right skewed to the right then the mean is median less than O equal to greater than the
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01 O 1 5 Question 3 If the distribution is skewed right skewed to the right then the mean is median less than O equal to greater than the
Identify the Ws name the variables specify for each variable whether its use indicates that it should be treated as categorical or quantitative and for any quantitative variable identify the units in which it was measured In performing research for an ecology class students at a college in upstate New York collect data on streams each year They record a number of biological chemical and physical variables including the stream name the substrate of the stream limestone shale or mixed the acidity of the water pH the temperature C and the BCI a numerical measure of biological diversity OA To mine tor precious stones B To reduce the acidity of New York s streams C To increase biological diversity OD The Why is not specified Identify the How in this situation Select all that apply OA Mixing several different stream waters together and watching for a reaction OB Swimming in the streams OC Gathering sample water from each stream and studying it back at the campus OD The How is not specified One variable Another variable A third variable A fourth variable A fifth variable is is is is A and and and and and
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Identify the Ws name the variables specify for each variable whether its use indicates that it should be treated as categorical or quantitative and for any quantitative variable identify the units in which it was measured In performing research for an ecology class students at a college in upstate New York collect data on streams each year They record a number of biological chemical and physical variables including the stream name the substrate of the stream limestone shale or mixed the acidity of the water pH the temperature C and the BCI a numerical measure of biological diversity OA To mine tor precious stones B To reduce the acidity of New York s streams C To increase biological diversity OD The Why is not specified Identify the How in this situation Select all that apply OA Mixing several different stream waters together and watching for a reaction OB Swimming in the streams OC Gathering sample water from each stream and studying it back at the campus OD The How is not specified One variable Another variable A third variable A fourth variable A fifth variable is is is is A and and and and and
Suppose that a random variable Y follows a Poisson distribution with 1 Find the P Y 07 O 0 37 0 1 0 015 O2 72
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Suppose that a random variable Y follows a Poisson distribution with 1 Find the P Y 07 O 0 37 0 1 0 015 O2 72
A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drinking soda Some drank caffeine free some drank regular and others drank a mixture of the two getting a half dose of caffeine The 5 number summaries for each group s scores number of items recalled correctly on the memory test are shown below Complete parts a through d No Caffeine Low Caffeine High Caffeine 15 Who What Where a Describe the W s for these data 5555 O A The two variables are the Scores 15 30 15 HTH b Name the variables and classify each as categorical or quantitative HOH Min 16 15 13 HIH Q and the OB Q1 17 18 15 c Create side by side boxplots to display these results as best you can with this information Create side by side boxplots where N represents the group with no caffeine L the group with low caffeine and H the group with high caffeine Choose the correct graph below 30 25 When How 10 5 Why which are G Median 21 22 18 and O C Scores 30 HIHO o N HOH variables respectively o H Q Q3 23 23 22 Q O D Scores HANNWW HH H NLH du Max 27 27 23
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Statistics
A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drinking soda Some drank caffeine free some drank regular and others drank a mixture of the two getting a half dose of caffeine The 5 number summaries for each group s scores number of items recalled correctly on the memory test are shown below Complete parts a through d No Caffeine Low Caffeine High Caffeine 15 Who What Where a Describe the W s for these data 5555 O A The two variables are the Scores 15 30 15 HTH b Name the variables and classify each as categorical or quantitative HOH Min 16 15 13 HIH Q and the OB Q1 17 18 15 c Create side by side boxplots to display these results as best you can with this information Create side by side boxplots where N represents the group with no caffeine L the group with low caffeine and H the group with high caffeine Choose the correct graph below 30 25 When How 10 5 Why which are G Median 21 22 18 and O C Scores 30 HIHO o N HOH variables respectively o H Q Q3 23 23 22 Q O D Scores HANNWW HH H NLH du Max 27 27 23
B There is no mode 5 50 SO 10 5 10 5 H Find the midrange The midrange is 9 6 inch es Type an integer or a decimal Do not round e Are the statistics representative of the current population of all women in that country s military Choose the best answer below OA Since the sample is random and the sample size is greater than 10 the sample can be considered to be representative of the population B Since the measurements were made in 1988 they are not necessarily representative of the current population of all women in the country s mili C Since the sample does not include men the sample should not be considered to be representative of the population D Since the sample is not a random sample it should not be considered to be representative of the population
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B There is no mode 5 50 SO 10 5 10 5 H Find the midrange The midrange is 9 6 inch es Type an integer or a decimal Do not round e Are the statistics representative of the current population of all women in that country s military Choose the best answer below OA Since the sample is random and the sample size is greater than 10 the sample can be considered to be representative of the population B Since the measurements were made in 1988 they are not necessarily representative of the current population of all women in the country s mili C Since the sample does not include men the sample should not be considered to be representative of the population D Since the sample is not a random sample it should not be considered to be representative of the population
Suppose that four random variables Y1 Y2 Y3 and Y4 follow a normal distribution with mean 5 and standard deviation 1 That is Y1 N 5 1 Y2 N 5 1 Y3 N 5 1 and Y4 N 5 1 What is the distribution of Y1 Y2 Y3 Y4 2 2 O N 5 4 ON 20 2 ON 20 6 ON 20 8
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Statistics
Suppose that four random variables Y1 Y2 Y3 and Y4 follow a normal distribution with mean 5 and standard deviation 1 That is Y1 N 5 1 Y2 N 5 1 Y3 N 5 1 and Y4 N 5 1 What is the distribution of Y1 Y2 Y3 Y4 2 2 O N 5 4 ON 20 2 ON 20 6 ON 20 8
Of all sports football accounts for the highest incidence of concussion in the United States due to the large number of athletes participating and the nature of the sport While there is general agreement that concussion incidence can be reduced by making rule changes and teaching proper tackling technique there remains debate as to whether helmet design may also reduce the incidence of concussion Rowson et al 2014 report on a retrospective analysis of head impact data collected between 2005 and 2010 from eight collegiate football teams Concussion rates for players wearing two types of helmets Riddell VSR4 and Riddell Revolution were compared A total of 1 281 444 head impacts were recorded from which 64 concussions were diagnosed The relative risk of sustaining a concussion in a Revolution helmet compared with a VSR4 helmet was 46 1 This study illustrates that differences in the ability to reduce concussion risk exist between helmet models in football Although helmet design may never prevent all concussions from occurring in football evidence illustrates that it can reduce the incidence of this injury Identify the population that is of interest to the researchers O The 1 281 444 head impacts recorded O All head impacts resulting from playing football over a given period of time O The number or percent of concussions suffered through these impacts O The advances in tackling techniques imply that there is variability in how a tackle is performed
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Statistics
Of all sports football accounts for the highest incidence of concussion in the United States due to the large number of athletes participating and the nature of the sport While there is general agreement that concussion incidence can be reduced by making rule changes and teaching proper tackling technique there remains debate as to whether helmet design may also reduce the incidence of concussion Rowson et al 2014 report on a retrospective analysis of head impact data collected between 2005 and 2010 from eight collegiate football teams Concussion rates for players wearing two types of helmets Riddell VSR4 and Riddell Revolution were compared A total of 1 281 444 head impacts were recorded from which 64 concussions were diagnosed The relative risk of sustaining a concussion in a Revolution helmet compared with a VSR4 helmet was 46 1 This study illustrates that differences in the ability to reduce concussion risk exist between helmet models in football Although helmet design may never prevent all concussions from occurring in football evidence illustrates that it can reduce the incidence of this injury Identify the population that is of interest to the researchers O The 1 281 444 head impacts recorded O All head impacts resulting from playing football over a given period of time O The number or percent of concussions suffered through these impacts O The advances in tackling techniques imply that there is variability in how a tackle is performed
O mode PowerOutputs O mean 4000 3800 3600 3400 3200 In the box plot above what is the number at the red arrow O median O trimmed mean
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Statistics
O mode PowerOutputs O mean 4000 3800 3600 3400 3200 In the box plot above what is the number at the red arrow O median O trimmed mean
Monthly sales figures for a particular food industry tend to be normally distributed with a mean of 155 thousand dollars and a standard deviation of 45 thousand dollars Compute the following P Y 155 01 0 5 O 0 25 O 0 1
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Statistics
Monthly sales figures for a particular food industry tend to be normally distributed with a mean of 155 thousand dollars and a standard deviation of 45 thousand dollars Compute the following P Y 155 01 0 5 O 0 25 O 0 1
The company that sells frozen pizza to stores in four markets in the United States Denver Baltimore Dallas and Chicago wants to examine the prices that the stores charge for pizza slices The accompanying boxplots compare data from a sample of stores in each market Complete parts a and b below a Do prices appear to be the same in the four markets Explain OA No prices appear to be both lower on average and more variable in Denver than in the other three cities B No prices appear to be lower on average in Chicago than in the other three cities C No prices appear to be both higher on average and more variable in Baltimore than in the other three cities OD Yes prices appear to be the same in the four markets b Does the presence of any outliers affect your overall conclusions about prices in the four markets OA No the presence of outliers does not affect the overall conclusions OB Yes Dallas s outlier increases its range compared to the ranges of the other cities OC Yes Baltimore s outliers increases its range compared to the ranges of the cities without outliers D Yes Chicago s outliers bring its average price down below the average prices of the other cities Price 15 3 0 25 20 1 5 F HIH HI tooo Denver Baltimore Dallas Market HIH Chicago
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Statistics
The company that sells frozen pizza to stores in four markets in the United States Denver Baltimore Dallas and Chicago wants to examine the prices that the stores charge for pizza slices The accompanying boxplots compare data from a sample of stores in each market Complete parts a and b below a Do prices appear to be the same in the four markets Explain OA No prices appear to be both lower on average and more variable in Denver than in the other three cities B No prices appear to be lower on average in Chicago than in the other three cities C No prices appear to be both higher on average and more variable in Baltimore than in the other three cities OD Yes prices appear to be the same in the four markets b Does the presence of any outliers affect your overall conclusions about prices in the four markets OA No the presence of outliers does not affect the overall conclusions OB Yes Dallas s outlier increases its range compared to the ranges of the other cities OC Yes Baltimore s outliers increases its range compared to the ranges of the cities without outliers D Yes Chicago s outliers bring its average price down below the average prices of the other cities Price 15 3 0 25 20 1 5 F HIH HI tooo Denver Baltimore Dallas Market HIH Chicago
In an attempt to decrease drunk driving police set up vehicle checkpoints during the July 4 evening The police randomly select vehicles to be stopped for informational checks On a particular roadway assume that 20 of all drivers have a blood alcohol level above the legal limit For a random sample of 15 vehicles compute the probability that exactly 6 of the 15 drivers will excee the legal limit O 0 O 0 6 O 0 04 0 06
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Statistics
In an attempt to decrease drunk driving police set up vehicle checkpoints during the July 4 evening The police randomly select vehicles to be stopped for informational checks On a particular roadway assume that 20 of all drivers have a blood alcohol level above the legal limit For a random sample of 15 vehicles compute the probability that exactly 6 of the 15 drivers will excee the legal limit O 0 O 0 6 O 0 04 0 06
A patient visits her doctor with concerns about her blood pressure If the systolic blood pressure exceeds 150 the patient is considered to have high blood pressure and medication may be prescribed The problem is that there is a considerable variation in a patient s systolic blood pressure readings during a given day A patient s systolic readings during a given day have a normal distribution with a mean of 160 mm mercury and a standard deviation of 20 mm If five measurements are taken at various times during the day what is the probability that the average blood pressure reading will be less than 150 and hence fail to indicate that the patient has a high blood pressure problem 0 3085 O 0 1911 O 0 1314 O 0 5000
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Statistics
A patient visits her doctor with concerns about her blood pressure If the systolic blood pressure exceeds 150 the patient is considered to have high blood pressure and medication may be prescribed The problem is that there is a considerable variation in a patient s systolic blood pressure readings during a given day A patient s systolic readings during a given day have a normal distribution with a mean of 160 mm mercury and a standard deviation of 20 mm If five measurements are taken at various times during the day what is the probability that the average blood pressure reading will be less than 150 and hence fail to indicate that the patient has a high blood pressure problem 0 3085 O 0 1911 O 0 1314 O 0 5000
Let Z be a random variable with a standard normal distribution Find the value of Z denoted zo such that P Z Zo 0 975 O 0 50 O 0 975 O 1 96 O2 51
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Statistics
Let Z be a random variable with a standard normal distribution Find the value of Z denoted zo such that P Z Zo 0 975 O 0 50 O 0 975 O 1 96 O2 51
Find the area under the standard normal curve between these values z 0 and z 3 49 00 O 0 10 O 0 25 O 0 50
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Statistics
Find the area under the standard normal curve between these values z 0 and z 3 49 00 O 0 10 O 0 25 O 0 50
The z score tells you O how many standard deviations the value y is above to the right of or below to the left of the mean O how many units the value y is above to the right of or below to the left of the mean O how many standard measure the value y is above to the right of or below to the left of the mean O how many standard variance the value y is above to the right of or below to the left of the mean H
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Statistics
The z score tells you O how many standard deviations the value y is above to the right of or below to the left of the mean O how many units the value y is above to the right of or below to the left of the mean O how many standard measure the value y is above to the right of or below to the left of the mean O how many standard variance the value y is above to the right of or below to the left of the mean H
The accompanying dotplot shows the heights of some of the singers in a chorus collected so that the singers could be positioned on stage with shorter ones in front and taller ones in back Complete parts a and b Click the icon to view the dotplot CHILD a Describe the distribution Choose the correct answer below OA The distribution is unimodal There is a center at around 62 inches Its mode is near 60 inches The heights range from 60 to 76 inches with most heights between 68 and 70 inches OB The distribution is bimodal There is a center at around 65 66 inches and a smaller center around 70 inches Its modes are near 65 inches and 70 inches The heights range from 60 to 76 inches with most heights between 65 and 70 inches OC The distribution has no noticeable modes The heights range from 60 to 76 inches with most heights between 63 and 73 inches OD The distribution is multimodal with centers at around 62 66 and 70 inches Its modes are near 60 inches 65 inches and 70 inches The heights range from 60 to 76 inches with most heights between 65 and 66 inches b What is the most likely explanation for the features seen in the distribution OA The shape of the distribution is probably due to the fact that some of the singers wore heels and some did not OB The shape of the distribution is probably due to a mix of men and women in the group OC Height data do not usually take this shape but it does in this case because of how the singers are organized on stage OD Height data always take this shape because some people are tall and some are short Dotplot of height data 60 65 70 Height inches Q
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Statistics
The accompanying dotplot shows the heights of some of the singers in a chorus collected so that the singers could be positioned on stage with shorter ones in front and taller ones in back Complete parts a and b Click the icon to view the dotplot CHILD a Describe the distribution Choose the correct answer below OA The distribution is unimodal There is a center at around 62 inches Its mode is near 60 inches The heights range from 60 to 76 inches with most heights between 68 and 70 inches OB The distribution is bimodal There is a center at around 65 66 inches and a smaller center around 70 inches Its modes are near 65 inches and 70 inches The heights range from 60 to 76 inches with most heights between 65 and 70 inches OC The distribution has no noticeable modes The heights range from 60 to 76 inches with most heights between 63 and 73 inches OD The distribution is multimodal with centers at around 62 66 and 70 inches Its modes are near 60 inches 65 inches and 70 inches The heights range from 60 to 76 inches with most heights between 65 and 66 inches b What is the most likely explanation for the features seen in the distribution OA The shape of the distribution is probably due to the fact that some of the singers wore heels and some did not OB The shape of the distribution is probably due to a mix of men and women in the group OC Height data do not usually take this shape but it does in this case because of how the singers are organized on stage OD Height data always take this shape because some people are tall and some are short Dotplot of height data 60 65 70 Height inches Q
A small warehouse employs a supervisor at 1400 a week an inventory manager at 750 a week six stock boys at 450 a week and four drivers at 490 a week a Find the mean and median wage The mean wage is The median wage is b How many employees earn more than the mean wage KILD 2 point s possible c Which measure of center best describes a typical wage at this company the mean or the median O A The median best describes the typical wage The mean is not a good measure of center because it is affected by the two higher salaries OB The median best describes the typical wage The mean is not a good measure of center because it is affected by the multitude of duplicate salaries OC The mean best describes the typical wage The median is not a good measure of center because it is affected by the two higher salaries OD The mean best describes the typical wage The median is not a good measure of center because it is affected by the multitude of duplicate salaries d Which measure of spread would best describe the payroll the range the IQR or the standard deviation Why OA The IQR is the better measure of spread The standard deviation and the range are both affected by the two higher salaries OB The standard deviation is the better measure of spread The IQR and the range are both affected by the two higher salaries OC The range is the better measure of spread Neither the IQR nor the standard deviation account for the extreme values OD The standard deviation is the better measure of spread Neither the IQR nor the range account for every data value
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Statistics
A small warehouse employs a supervisor at 1400 a week an inventory manager at 750 a week six stock boys at 450 a week and four drivers at 490 a week a Find the mean and median wage The mean wage is The median wage is b How many employees earn more than the mean wage KILD 2 point s possible c Which measure of center best describes a typical wage at this company the mean or the median O A The median best describes the typical wage The mean is not a good measure of center because it is affected by the two higher salaries OB The median best describes the typical wage The mean is not a good measure of center because it is affected by the multitude of duplicate salaries OC The mean best describes the typical wage The median is not a good measure of center because it is affected by the two higher salaries OD The mean best describes the typical wage The median is not a good measure of center because it is affected by the multitude of duplicate salaries d Which measure of spread would best describe the payroll the range the IQR or the standard deviation Why OA The IQR is the better measure of spread The standard deviation and the range are both affected by the two higher salaries OB The standard deviation is the better measure of spread The IQR and the range are both affected by the two higher salaries OC The range is the better measure of spread Neither the IQR nor the standard deviation account for the extreme values OD The standard deviation is the better measure of spread Neither the IQR nor the range account for every data value
Here are boxplots of the points scored during the first 10 games of the season for both Scyrine and Alexandra a Summarize the similarities and differences in their performance so far b The coach can take only one player to the state championship Which one should she take Why a Choose the correct answer below O A Both girls have the same approximate mean but Alexandra has a larger IQR B Both girls have the same approximate median but Scyrine has a larger IQR OC Both players are about the same except Scyrine can score more points O D Both girls have the same approximate median and IQR but Scyrine has a larger range b Choose the correct answer below O A She should take Alexandra because she is a more consistent performer OB She should take Scyrine because she has the ability to score a higher point total OC It does not matter which player she takes because they both score the same average number of points A and B are both possible depending on the coach s preference Points 30 25 20 15 10 5 HIH 3 Scyrine Alexandra Player
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Statistics
Here are boxplots of the points scored during the first 10 games of the season for both Scyrine and Alexandra a Summarize the similarities and differences in their performance so far b The coach can take only one player to the state championship Which one should she take Why a Choose the correct answer below O A Both girls have the same approximate mean but Alexandra has a larger IQR B Both girls have the same approximate median but Scyrine has a larger IQR OC Both players are about the same except Scyrine can score more points O D Both girls have the same approximate median and IQR but Scyrine has a larger range b Choose the correct answer below O A She should take Alexandra because she is a more consistent performer OB She should take Scyrine because she has the ability to score a higher point total OC It does not matter which player she takes because they both score the same average number of points A and B are both possible depending on the coach s preference Points 30 25 20 15 10 5 HIH 3 Scyrine Alexandra Player
Identify the Ws name the variables specify for each variable whether its use indicates that it should be treated as categorical or quantitative and for any quantitative variable identify the units in which it was measured In performing research for an ecology class students at a college in upstate New York collect data on streams each year They record a number of biological chemical and physical variables including the stream name the substrate of the stream limestone shale or mixed the acidity of the water pH the temperature C and the BCI a numerical measure of biological diversity Identify the Who in this situation Choose the correct answer below A The streams OB The biological organisms that contribute to the BCI OC The students D The college OE The Who is not specified Identify the What in this situation Select all that apply A Substrate of the stream B Name of stream C Acidity of the water D BCI E Temperature ME The W
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Statistics
Identify the Ws name the variables specify for each variable whether its use indicates that it should be treated as categorical or quantitative and for any quantitative variable identify the units in which it was measured In performing research for an ecology class students at a college in upstate New York collect data on streams each year They record a number of biological chemical and physical variables including the stream name the substrate of the stream limestone shale or mixed the acidity of the water pH the temperature C and the BCI a numerical measure of biological diversity Identify the Who in this situation Choose the correct answer below A The streams OB The biological organisms that contribute to the BCI OC The students D The college OE The Who is not specified Identify the What in this situation Select all that apply A Substrate of the stream B Name of stream C Acidity of the water D BCI E Temperature ME The W
Identify the W s name the variables specify for each variable whether its use indicates that it should be treated as categorical or quantitative and for any quantitative variable identify the units in which it was measured in performing research for an ecology class students at a college in upstate New York collect data on streams each year They record a number of biological chemical and physical variables including the stream name the substrate of the stream limestone shale r mixed the acidity of the water pH the temperature C and the BCI a numerical measure of biological diversity Identify the When in this situation Choose the correct answer below OA The first day of class OB One week in November and one week April OC One day in December and one day in May OD Over the course of the entire semester OE The When is not specified Identify the Where in this situation Choose the correct answer below OA Upstate New York OB The college s athletic center pool OC The classroom OD The Where is not specified Identify the Why in this situation Choose the correct answer below OA To mine for precious stones OB To reduce the acidity of New York s streams D
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Statistics
Identify the W s name the variables specify for each variable whether its use indicates that it should be treated as categorical or quantitative and for any quantitative variable identify the units in which it was measured in performing research for an ecology class students at a college in upstate New York collect data on streams each year They record a number of biological chemical and physical variables including the stream name the substrate of the stream limestone shale r mixed the acidity of the water pH the temperature C and the BCI a numerical measure of biological diversity Identify the When in this situation Choose the correct answer below OA The first day of class OB One week in November and one week April OC One day in December and one day in May OD Over the course of the entire semester OE The When is not specified Identify the Where in this situation Choose the correct answer below OA Upstate New York OB The college s athletic center pool OC The classroom OD The Where is not specified Identify the Why in this situation Choose the correct answer below OA To mine for precious stones OB To reduce the acidity of New York s streams D
The accompanying dotplot shows the carbohydrate content of 77 breakfast cereals in grams Complete parts a and b Click the icon to view the dotplot a Describe the distribution The distribution of cereal carbohydrates is with grams The data range from gram s to gram s with most c grams Type integers or decimals Do not round Use ascending order b Given what you know about breakfast cereals what additional variable do you think would help describe the shape you see on this graph OA Cereals have very specific government mandates requirements before they can be sold which probably explains the small spread B Very few cereal manufacturers take consumer health into account which probably explains the low number of dots below 10 grams C Cereals made for kids can be high in sugar and carbohydrates which probably explains the high number of dots at 21 grams D A lot of cereals are exactly the same which probably explains the number of tall columns of dots
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Statistics
The accompanying dotplot shows the carbohydrate content of 77 breakfast cereals in grams Complete parts a and b Click the icon to view the dotplot a Describe the distribution The distribution of cereal carbohydrates is with grams The data range from gram s to gram s with most c grams Type integers or decimals Do not round Use ascending order b Given what you know about breakfast cereals what additional variable do you think would help describe the shape you see on this graph OA Cereals have very specific government mandates requirements before they can be sold which probably explains the small spread B Very few cereal manufacturers take consumer health into account which probably explains the low number of dots below 10 grams C Cereals made for kids can be high in sugar and carbohydrates which probably explains the high number of dots at 21 grams D A lot of cereals are exactly the same which probably explains the number of tall columns of dots
Identify the W s name the variables specify for each variable whether its use indicates that it should be treated as categorical or quantitative and for any quantitative variable identify the units in which it was measured In performing research for an ecology class students at a college in upstate New York collect data on streams each year They record a number of biological chemical and physical variables including the stream name the substrate of the stream limestone shale or mixed the acidity of the water pH the temperature C and the BCI a numerical measure of biological diversity Identify the Why in this situation Choose the correct answer below O A To mine for precious stones OB To reduce the acidity of New York s streams OC To increase biological diversity OD The Why is not specified Identify the How in this situation Select all that apply OA Mixing several different stream waters together and watching for a reaction OB Swimming in the streams OC Gathering sample water from each stream and studying it back at the campus CCID
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Statistics
Identify the W s name the variables specify for each variable whether its use indicates that it should be treated as categorical or quantitative and for any quantitative variable identify the units in which it was measured In performing research for an ecology class students at a college in upstate New York collect data on streams each year They record a number of biological chemical and physical variables including the stream name the substrate of the stream limestone shale or mixed the acidity of the water pH the temperature C and the BCI a numerical measure of biological diversity Identify the Why in this situation Choose the correct answer below O A To mine for precious stones OB To reduce the acidity of New York s streams OC To increase biological diversity OD The Why is not specified Identify the How in this situation Select all that apply OA Mixing several different stream waters together and watching for a reaction OB Swimming in the streams OC Gathering sample water from each stream and studying it back at the campus CCID