Statistics Questions and Answers

A sample of 17 participants took part in a hearing exp participant The 17 measurements were as follows

0 0 387 0 2 0 397 0 4 0 397 0 6 0 463 0 8 0 552 1 0 5 1 2 0 469 1 4 0 503 1 6 0 51 1 8 0 513 2 0 552 0 344 0 352 0 359 0 888 0 972 1 141 0 895 1 141 1 228 1 302 1 351 0 3655 0 3745 0 378 0 6755 0 762 0 8205 0 6955 0 822 0 869 0 9075 0 9515

An ice cream shop owner s business assets and liabilities are listed below Owned Inventory Cash Building Mortgage Savings Account Owned Equipment Small Business Loan Other Debt Accounts Receivable Property Value O 125 768 32 500 171 152 75 420 154 265 25 000 15 670 15 652 1 235 12 540 What is the total value of the ice cream shop owner s business assets 125 768

Calculating Net Worth MC The personal assets and liabilities of a carpenter are listed below Home Value Mortgage Credit Card Balance Car Value Investments Owned Work Equipment 3 365 Truck Loan O 139 450 175 742 145 228 76 765 281 313 2 055 44 346 What is the carpenter s net worth 61 225 66 408

Calculating Net Worth LC The personal assets and liabilities of a plumber are listed below Home Value Mortgage Credit Card Balance Owned Yard Equipment Car Value Investments 149 367 198 800 O 167 925 149 367 241 231 6 283 25 350 Kitchen Renovation Loan 12 275 7 300 What is the total value of the plumber s liabilities 42 431

If you have 150 taken out of your paycheck in deductions and your net pay is 450 what was your gross pay

Consider the following sets of sample data A 20 347 20 327 22 117 21 762 20 864 3 38 4 64 4 09 3 93 4 25 4 63 4 78 4 B

A researcher wishes to see if a kelp extract helps prevent frost damage on tomato plants One hundred tomato plants in individual containers are randomly assigned to two different groups Plants in both groups are treated identically except that the plants in group 1 are sprayed weekly with a kelp extract while the plants in group 2 are not After the first frost in the autumn 8 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage Why would the use of z procedures be questionable value in this situation Select one O a We cannot be sure that the Normality condition has been met O b We don t know whether the 10 condition has been met O c Individual plants were not assigned randomly to the two experimental treatments O d We don t know the standard deviation for either population O e We are collecting results on the entire population of plants so statistical inference from samples is unnecessary

February 6 2023 at 4 59 PM A survey of a random sample of 1280 student loan borrowers found that 218 had loans totaling more than 40 000 for their undergraduate education a Construct and interpret a 95 confidence interval for the true proportion of all student loan borrowers who have loans totaling more than 40 000 Make sure to follow the State Plan Do Conclude steps b Suppose you wanted to estimate the true proportion of all student loan borrowers who have loans totaling more than 40 000 with 95 confidence to within 1 Calculate the sample size you would need Use the sample proportion to estimate the population proportion

It is expected that the proportion of striped fish in M Bay is 0 59 What is the probability that in a random sample of 48 fish the proportion of striped fish is greater than 0 64 Round to for decimal places Suppose in a random sample of 48 fish the proportion of striped fish is 0 64 This result is 2

The heights of adults who identify as men in the U S are normally distributed with a mean or 69 8 and a standard deviation of 2 66 inches The heights of adults who identify as women in the U S are also normally distributed but with a mean of 64 4 inches and a standard deviation of 2 52 inches a If a person who identifies as a man is 6 feet 3 inches tall what is his z score to two decimal places Z b If a person who identifies as a woman is 5 feet 11 inches tall what is her z score to two decimal places Z c Who is relatively taller The 6 foot 3 inch U S man O The 5 foot 11 inch U S woman

For a group of four 50 year old men the probability distribution for the number a who live through the next year is as given in the table below X P x 0 0 0001 1 0 0029 2 0 0427 0 2776 0 6767 Verify that the table is indeed a probability distribution Then find the mean of the distribution mean Report answer accurate to 1 decimal place 3 4

The average resting heart rate of a population is 85 beats per minute with a standard deviation of 10 bpm Find the z scores that correspond to each of the following heart rates Round your answers to the nearest hundredth if necessary a 106 bpm Z b 79 bpm Z

X P x 0 0 1 1 0 05 2 0 15 3 0 7 Find the standard deviation of this probability distribution Use your mean rounded to 2 decimal pla Give your answer to 2 decimal places Question Help Post to forum

X 0 1 2 3 P x 0 3 0 25 0 2 0 25 Find the mean of this probability distribution Round your answer to one decimal plac

February 6 2023 at 4 57 PM In a recent research poll 83 4 of 500 randomly selected men in the U S were able to state the name of our current vice president When 500 randomly selected women in the U S were asked 79 were able to do so a Construct and interpret a 95 confidence interval for the true difference in the proportion of U S men and the proportion of U S women who can state the name of our current vice president b Explain in the context of this problem what is meant by 95 confidence c Based on this confidence interval is there convincing evidence that the true proportion of men who can name the current vice president is different than the true proportion of women that can name the current vice president Explain

A forester wants to produce a 90 confidence interval for the true proportion of hemlock trees in a forest that are infested with the Hemlock Woolly Adelgid a serious insect pest He needs the margin of error to be no more than 0 04 Which of the following equations can be used to find the smallest sample size that will produce such an interval Select one O a O b O d Oo 1 64 1 96 2 33 1 96 1 64 0 5 0 5 M 0 5 0 5 H 0 5 0 5 M 0 5 0 5 n 0 04 0 04 0 5 0 5 0 04 0 08 0 08

Tom s Electronics offers five models of cell p Yesterday they sold 20 cell phones a The models that were sold appear b Complete the frequency distribution Model CEE CE E E

Here are the hottest recorded temperatures in F for each of sixt Temperatures in F 110 105 96 105 97 93 104 99 106 112 103 101 102 94 99 94 Send data to calculator a Complete the grouped frequency distribution for the data Note that the class width is 4 Temperatures in F 92 5 to 96 5 96 5 to 100 5 Frequency 0 10 b

A newspaper conducted a statewide survey concerning the 2008 race for state senator The newspaper selected a random sample of 1200 registered voters and found that 620 would vote for the Republican candidate Let p the true proportion of registered voters in the state that would vote for the Republican candidate Which of the following is closest to the sample size you would need in order to estimate p with margin of error 0 01 with 95 confidence Use P 0 5 as an approximation of p Select one a 49 O b 1500 O c 4800 O d 4900 O e 9604

Ms Garcia gave her students a biology test la Here are the test scores for each of the twelv Complete the grouped frequency distribution In the distribution the frequency of a class is Note that we are using a class width of 5 97 92 Test score 92 82 85 80 81 86 Test sc 79 to 84 to

In a large Midwestern university an SRS of 100 entering freshmen in 2014 found that 20 finished in the bottom third of their high school class In 2016 an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class In both years the entering freshman class had roughly 6000 students Let p be the proportion of all entering freshmen in 2014 who graduated in the bottom third of their high school class and let p2 be the proportion of all entering freshmen in 2016 who graduated in the bottom third of their high school class Which of the following represents 99 confidence interval for p1 P2 Select one O a O b O C O d 0 2 0 1 1 96 Oe 0 2 0 1 1 96 0 2 0 1 1 96 0 2 0 1 2 576 0 2 0 8 0 1 0 9 100 100 0 2 0 8 0 1 0 9 100 100 0 15 0 85 100 0 2 0 1 2 576 0 15 0 85 100 0 2 0 8 0 1 0 9 100 100 0 15 0 85 0 15 0 85 100 100

In a poll students were asked to choose which of six c participated in the poll how many chose Green

Below are the times in days it takes for a sample of 20 d 19 15 43 39 35 31 27 22 18 14 42 38 34 3 Send data to calculator

Your teacher claims to produce random numbers from 1 to 5 inclusive on her calculator but you ve been keeping track In the past 80 rolls the number five has come up only 8 times You suspect that the calculator is producing fewer fives than it should You would like to construct a 95 confidence interval for the true proportion of fives generated by this calculator Which of the following options gives the correct notation for and value of the point estimate Select one O a p 0 1 O b P 0 1 O c x 0 1 O d p 8 e p 8

In a certain city the average 20 to 29 year old man is 69 8 inches tall with a standard deviation of 3 0 inches while the average 20 to 29 year old woman is 64 3 inches tall with a standard deviation of 3 9 inches Who is relatively taller a 75 inch man or a 70 inch woman Find the corresponding z scores Who is relatively taller a 75 inch man or a 70 inch woman Select the correct choice below and fill in the answer boxes to complete your choice Round to two decimal places as needed OA The z score for the woman is smaller than the z score for the man B The z score for the man OC The z score for the man OD The z score for the woman is larger than the z score for the woman is smaller than the z score for the woman is larger than the z score for the man so she is relatively taller so he is relatively taller so he is relatively taller so she is relatively taller

An SRS of 100 flights by Speedy Airlines showed that 64 were on time An SRS of 100 flights by Happy Airlines showed that 80 were on time Let ps be the proportion of on time flights for all Speedy Airline flights and let pH be the proportion of all on time flights for all Happy Airlines flights A 95 confidence interval for the difference ps pH is Select one O a 0 264 0 056 O b 0 098 0 222 O c 0 222 0 098 O d 0 264 0 056 O e 0 283 0 038

a Compute the population standard deviation a 9 6 beats per minute Round to one decimal place as needed b Determine the sample standard deviation of the following three simple random samples of size 3 Sample 1 Janette Kathy Perpectual Sample 2 Clarice Tammy Janette Sample 3 Jeff Perpectual Crystal The sample standard deviation s of sample 1 Janette Kathy Perpectual is beats per minute Round to one decimal place as needed Student Pluse Rates Student Perpectual Bempah Megan Brooks Jeff Honeycutt Clarice Jefferson Crystal Kurtenbach Janette Lantka

In a certain city the average 20 to 29 year old man is 69 4 inches tall with a standard deviation of 3 2 inches wh the average 20 to 29 year old woman is 64 3 inches tall with a standard deviation of 3 9 inches Who is relatively taller a 75 inch man or a 70 inch woman www Find the corresponding z scores Who is relatively taller a 75 inch man or a 70 inch woman Select the correct che below and fill in the answer boxes to complete your choice Round to two decimal places as needed OA The Z score for the man is larger than the z score for the woman is larger than the z score for the man OB The z score for the woman OC The z score for the man OD The z score for the woman is smaller than the z score for the woman is smaller than the z score for the man so he is relatively taller so she is relatively taller so he is relatively taller so she is relatively taller

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 415 grams If a 33 week gestation period baby weighs 2850 grams and a 41 week gestation period baby weighs 3150 grams find the corresponding z scores Which baby weighs more relative to the gestation period Find the corresponding z scores Which baby weighs relatively more Select the correct choice below and fill in the answer boxes to complete your choice Round to two decimal places as needed OA The baby born in week 33 weighs relatively more since its z score is larger than the z score of the baby born in week 41 OB The baby born in week 41 weighs relatively more since its z score the baby born in week 33 OC The baby born in week 33 weighs relatively more since its z score the baby born in week 41 is larger than the z score of is smaller than the z score of for for for

The accompanying data represent the pulse rates beats per minute of nine students enrolled in a statistics course Treat the nine students as a population Complete parts a through c Click the icon to view the data on the students pulse rates a Compute the population sta G beats per minute Round to one decimal place a Student Pluse Rates Student Perpectual Bempah Megan Brooks Jeff Honeycutt Clarice Jefferson Crystal Kurtenbach Janette Lantka Pulse 71 78 65 65 90 89 n

TAT 1800 Business Statistics Homework Assignm Sample Upd uestion list

Homework Demo 1 Lesson 5 Question list Question 1 Question 2 Question 3 K If in a sample of n 20 selected from a normal population X hypothesis H is 50 Click here to view page 1 of the table of the critical values of t Determine the critical value s The critical value s is are Round to four decimal places as Table of crit Critical Val For a particul the anitiaall

11000 business Statistics SP1 2023 E Homework Demo 1 Lesson 5 Question list Question 1 Question 2 K A manufacturer of chocolate candies uses machines to pack 8 17 ounces so that virtually none of the packages contain l packaged is different from 8 17 ounces Suppose that in a p and b Click here to view page 1 of the critical values for the t Distri Click here to view page 2 of the critical values for the t Distri a Is there evidence that the population mean amount is diff

An insurance company crashed four cars in succession at 5 miles per hour The cost of repair for each of the four crashes was 418 469 403 230 Compute the range sample variance and sample standard deviation cost c repair The range is 239 s dollars Round to the nearest whole number as needed

In a recent research poll 83 4 of 500 randomly selected men in the U S were able to state the name of our current vice president When 500 randomly selected women in the U S were asked 79 were able to do so a Construct and interpret a 95 confidence interval for the true difference in the proportion of U S men and the proportion of U S women who can state the name of our current vice president b Explain in the context of this problem what is meant by 95 confidence c Based on this confidence interval is there convincing evidence that the true proportion of men who can name the current vice president is different than the true proportion of women that can name the current vice president Explain

A consumer watchdog organization estimates the true mean weight of one ounce Fun Size candy bars to see if customers are getting full value for their money A random sample of 25 bars is selected and weighed and the organization reports that a 90 confidence interval for the true mean weight of the candy bars is 0 992 to 0 998 ounces a What is the point estimate from this sample b What is the margin of error c Interpret the confidence level

from McDonald s and selecting an accurate order disjoint 12 Fast Food Drive Thru Accuracy If one order is selected find the probability of getting an order that is not accurate or is from Wendy s Are the events of selecting an order that is not accurate and selecting an order from Wendy s disjoint events und find the probability that they

Clara is looking into investing a portion of her recent bonus into the stock market While re deviations of one year of daily stock closing prices Masterful Pocketwatches Standard devi Eye Remember Enterprises Standard devi Based on the data and assuming these trends continue which company would give Clara a Answer Eye Remember Enterprises the smaller standard deviation indicates tha than Masterful Pocketwatches Masterful Pocketwatches the larger standard deviation indicates that M Eve Remember Enterprises

The following stem and leaf plot represents the tim

Find the sample variance and standard deviation 6 46 11 48 34 22 34 32 28 20 Choose the correct answer below Fill in the answer box to complete your chole Round to two decimal places as needed OA OB 0

in a very large history class O7 483 The variance of these data is 34 903 Are these population or sample data Select an answer The mean of these data is O 11 721 O 12 388 11 711 40 169 O36 842 O 51 518 06 07 6 338 he standard deviation of these data is O 5 908 Credit Hours 0 x 5 5 x 10 10 x 15 15 20 20 x 25 Freq 3473 2

Ethan and Drew went on a 10 day fishing trip The number of smallmouth bass caught and released by the two b each day is shown in the accompanying data table Complete parts a through d below Click the icon to view the data table a Find the population mean and the range for the number of smallmouth bass caught per day by each fisherman these values indicate any differences between the two fishermen s catches per day The range for the number of smallmouth bass caught per day by Ethan is Type an integer or a decimal Do not round Data Table Ethan 10 24 7 6 www 6 8 9 9 8 10 X

Compute the range and sample standard deviation for strength of the concrete in ps 3910 4050 3400 3000 2960 3840 4050 4030 The range is psi

he accompanying data represent the pulse rates beats per minute of nine students enrolled in a statistics course Treat the nine students as a population Complete parts a through c EEE Click the icon to view the data on the students pulse rates a Compute the population standard deviation boats per minute Round to one decimal place as needed Student Pluse Rates Student Perpectual Bempah Megan Brooks Jeff Honeycutt Clarice Jefferson Crystal Kurtenbach Pulse 71 78 65 65 00

Find the population variance and standard deviation 6 12 20 24 28 Choose the correct answer below Fill in the answer box to complete your choice Type an integer or a decimal Do not round OA 2 OB 5

Find the sample variance and standard deviation 17 11 6 7 9 Choose the correct answer below Fill in the answer box to complete yo Type an integer or a decimal Round to one decimal place as needed A s 19 B Choose the correct answer below Fill in the answer box to complete you Round to one decimal place as needed OA G OB SE

The average cost of a smartphone in North America is 529 with a standard deviation of 28 Consider a random sample of 375 smartphones According to Chebychev s Theorem at least how many smartphones in the sample have a cost between 445 and 613 75 333 97

A data set consisting of 380 men s basketball player heights is known to have a bell shaped normal distribution with a mean of 80 inches and a standard deviation of 3 inches According to the Empirical Rule approximately what percentage of the players heights lie between the scores 74 and 86 inches O 99 7 95 68

Data set 1 has a mean of 44 and standard deviation of 34 Data set 2 has a mean of 33 and a standard deviation of 28 Determine which standard deviation represents greater variability O Not able to be determined 034 O They are equal 28