Statistics Questions

1 This is a template to use for hypothetical budgets Fill this out based on your own expenses or projected expenses but all the scenarios assume that you are making 500 a month in income 2 Complete the column titled Scenario 1 Debt with as much expense as you would like in each category You need to spend more than 500 If you think of additional expenses beyond those listed on the organizer you can add them below Books Magazines on the chart 3 Then add up your expenses and subtract them from the income figure of 500 The expenses should be higher than 500 so the total will be negative This means you have gone into debt and the debt figure should go in the Debt row 4 Next fill out the column titled Scenario 2 Break Even The goal here is to spend exactly 500 This means that you will have to lower your expenses in certain areas from the Debt column 5 You will add up your expenses to confirm that your expense and income totals are equal You will then have no savings or debt so a 0 should go in the Debt and Savings rows 6 Then Complete the column titled Scenario 3 Savings The goal with this column is to lower your costs below those of the Break even Scenario in order to have savings 7 You will add up your expenses and subtract the total from the income figure of 500 This figure should go in the Savings row 8 Respond to the reflection question after you are done Monthly Budget Monthly Income Monthly Expenses School Supplies Cell Phone Clothes Accessories Transportation Restaurant Snacks Movies Concerts Sports Video Games Books Magazines Donations to Charity Other Other Total Expenses Scenario 1 Debt 10pts 500 Scenario 2 Break Even 10pts 500 Scenario 3 Savings 10 pts 500 Savings Debt 10pts Reflection How were you able to achieve savings How have you set your spending priorities in order to lower some expenses and

Use the accompanying radiation levels in for 50 different cell phones Find the percentile corresponding to 1 46 kg Click the icon to view the radiation levels W The percentile corresponding to 1 46 IS Round to the nearest whole number as needed kg Radiation Levels 319 0 22 0 27 0 29 0 46 0 56 0 57 0 63 0 64 0 75 0 82 0 87 0 90 0 90 0 92 0 93 0 96 0 97 0 98 1 10 1 12 1 14 1 14 1 14 1 15 1 15 1 18 1 19 1 21 1 22 1 23 1 26 1 28 1 29 1 30 1 32 1 32 1 34 1 37 1 41 1 43 1 46 1 10 1 21 1 32 1 47 1 47 1 56 1 30 1 31 I X

A K Find the a mean b median c mode and d midrange for the data and then e answer the given question 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 65 58 15 31 77 43 53 95 59 32 50 a Find the mean The mean is Type an integer or a decimal rounded to one decimal place as needed b Find the median The median is Type an integer or a decimal rounded to one decimal place as needed c Find the mode Select the correct choice below and if necessary fill in the answer box to complete your choice OA The mode s is are Type an integer or a decimal Do not round Use a comma to separate answers as needed OB There is no mode d Find the midrange The midrange is Type an integer or a decimal rounded to one decimal place as needed e What do the results tell us OA The jersey numbers are nominal data and they do not measure or count anything so the resulting statistics are meaningless OB The mean and median give two different interpretations of the

This question 6 point s possible Below are the jersey numbers of 11 players randomly selected from a football team Find the range variance and standard deviation for the given sample data What do the results tell 45 69 9 24 5 38 55 76 44 2 20 Range Round to one decimal place as needed Sample standard deviation Sample variance Round to one decimal place as needed What do the results tell us Round to one decimal place as needed E OA Jersey numbers on a football team do not vary as much as expected OB Jersey numbers on a football team vary much more than expected OC The sample standard deviation is too large in comparison to the range O D Jersey numbers are nominal data that are just replacements for names so the resulting statistics are meaningless

K The given data represents a frequency distribution of the F scale intensities of recent tornadoes Use the frequency distribution to construct a frequency polygon Does the graph suggest that the distribution is skewed If so how Construct a frequency polygon using the data Choose the correct graph below OA 30 Frequency 1 F Scale Q O C Q 30 NWNI OB 30 Frequency F Scale www Does the graph suggest that the distribution is skewed If so how OA The distribution appears to be skewed to both sides OB The distribution does not appear to be skewed OC The distribution appears to be skewed to the right or positively skewed OD The distribution appears to be skewed to the left or negatively skewed 1 Frequency F Scale Tornado F Scale Q 0 1 2 3 4 O D Frequency 25 30 19 1 1 2 Frequency F Scale Q 5

This question 3 point s possible A study was conducted to determine how people get jobs The table lists data from 400 randomly selected subjects Construct a Pareto chart that corresponds Job Sources to the given data If someone would like to get a job what seems to be the most effective approach Choose the correct Pareto chart O A 300 250 200 150 100 50 0 HENM OB 300 250 200 150 100 50 0 OA Executive search firms E OB Networking N OC Mass mailing M O D Help wanted ads H EHMN If someone would like to get a job what seems to be the most effective approach O C 300 250 200 150 100 50 0 EHMN O D 300 250 200 150 100 50 0 Frequency 59 Executive search firms E 270 Help wanted ads H 30 Networking N Mass mailing M 41 HENM

What type of sampling is used Identify which of these types of sampling is used random systematic convenience stratified or cluster K To determine her power usage Miranda divides up her day into three parts morning afternoon and evening She then measures her power usage at 4 randomly selected times during each part of the day O O O O O Cluster Convenience Systematic Random This question 3 point s possible Stratified test

37 You conduct a survey that asks 150 students about whether they are in band Seventy females respond 25 of which are in band Twenty eight males are not in band Organize the results in a two way table Find and interpret the marginal frequencies Total

We are what we repeatedly do Excellence then is not an act but a habit Aristotle TAKE HOME PORTION USE ONLY OUR NOTES AS RESOURCES 70 points 5 5 pts Openstax 6 3 162 Use the method of cylindrical shells to develop the formula for the volume of the donut created when the circle x y 4 is rotated around the line x 4 4 2 4 2 2 8 4 6 2 4 6 K

A major cab company in Chicago has computed its mean fare from O Hare Airport to the Drake Hotel to be 27 27 with a standard deviation of 3 37 Based this information complete the following statements about the distribution of the company s fares from O Hare Airport to the Drake Hotel a According to Chebyshev s theorem at least 89 of the fares lie between 18 845 dollars and 35 695 dollars b According to Chebyshev s theorem at least 75 of the fares lie between 20 53 dollars and 34 01 dollars c Suppose that the distribution is bell shaped According to the empirical rule approximately 95 of the fares lie between 20 53 dollars and 34 01 dollars d Suppose that the distribution is bell shaped According to the empirical rule approximately 99 7 of the fares lle between 17 16 dollars and 37 38 dollars X

The age of the first 16 U S presidents at the time of r first inauguration are displayed below president Washington John Adams Jefferson Madison Monroe J Q Adams Jackson Van Buren W H Harrison Tyler Polk Taylor Fillmore Pierce Buchanan Lincoln b median 57 a Make and label a histogram and boxplot for this data using GeoGebra Insert your histogram and boxplot in the add work box and type your titles and labels above and below the graphs Use the Export button in GeoGebra and the Insert Image button in the Add work box Use GeoGebra to compute each of the following summary statistics rounding to one decimal place if needed c IQR 9 5 b median 57 age 57 61 57 57 58 57 61 54 c IQR 9 5 68 51 49 64 50 48 65 52 d mean Use GeoGebra to compute each of the following summary statistics rounding to one decimal place if needed years years years years years e sample standard deviation years f Write a paragraph describing the shape center spread and unusual featuers of the data Be sure to include all 4 items with context and units in your paragraph You can type it in the box or write it on your paper

Directions For each question below please select the technique that most closely matches the description 1 There are 35 rides at a large theme park and a team of journalists wants to interview some customers The journalists randomly chooses 5 of the rides and interview all of the people exiting those rides Select an answer 2 You work for a company as a quality control specialist You want to check the current production of products for defects You locate the finished products for the day and inspect the first 20 items you happen to see Select an answer 3 You work for a company as a quality control specialist You want to check the current production of products for defects Your factory has 5 different assembly lines At the end of the day you randomly choose two of the assembly lines and inspect each item produced by that assembly line Select an answer 4 You want to investigate the voter s opinions on an upcoming issue for your city You obtain a list of the registered voters and randomly select 100 names You contact each of the randomly chosen voters and ask for their opinion Select an answer 5 You work for a company as a quality control specialist You want to check the current production of products for defects At the end of the day you assign a number to each item that was produced You randomly choose 20 numbers and inspect the items that correspond to the randomly chosen numbers Select an answer

Vocabulary Terms treatment observational study experiment experimental units retrospective study Definitions a a study in which data from the past is examined b experimental conditions imposed on the subjects c a study in which data is collected without anything being done to the s d The people animals or things on whom experiments are performed e a study in which a treatment is applied and responses are observed

Identify the type of observational study The haircolor of students in your class are recorded O Retrospective O O Prospective Cross Sectional

Determine the distribution of the data pictured below Frequency 4 3 2 1 1 2 3 4 5 6 7 8 data O Uniform O Bell shaped O Skewed right Skewed left

Is this value from a discrete or continuous data set From a sample of 500 students 70 feel stressed O Discrete O Continuous

How big is your family A survey asked a sample of 2780 adults how many children they had and also how many siblings brothers and sisters they had The results are summarized in the following contingency table Number of Children 3 135 136 149 131 143 Siblings 0 1 2 3 4 More than 4 Send data to Excel Part 0 2 Part 1 of 2 0 91 105 108 64 102 62 1 85 91 94 106 116 106 2 161 147 174 164 151 141 141 4 56 55 57 35 46 25 More than 4 23 17 27 21 27 23 Ella Esp C

Test the hypothesis of independence Use the a 0 10 level of significance and the P value method with the TI 84 Plus calculator What do you conclude Part 1 of 4 a State the null and alternate hypotheses Ho Household size and opinion are H Household size and opinion are not Part 1 4 Part 2 of 4 The P value is independent b Find the P value Round your answer to at least four decimal places X independent C al

The number of children in seven randomly chosen families were a Find the following values Round to two decimal places as needed Q Q3 b Identify the box and whiskers plot for this data modified as necessary O O 2 3 4 O 72 1 F to wit 3 2 2 Median 5 3 6 7 3 A 4 5 6 7 2 3 3 3 11 3 4 4 8 75 5 8 5 9 10 6 9 6 6 10 4 a Q 11 IN O 7 O IQR

6 Which statement about predicting values of the dataset using a cubic modeling function is correct Variable 1 5 49 4 25 3 17 1 57 9 58 11 72 10 99 8 41 2 34 6 09 7 62 Variable 2 11 12 8 75 6 25 3 21 20 01 23 85 22 32 17 23 5 51 12 42 15 48 Olf Variable 1 0 951 Variable 2 is predicted to equal 2 421 OIf Variable 1 0 536 Variable 2 is predicted to equal 1 804 Olf Variable 1 0 318 Variable 2 is predicted to equal 1 701 Of Variable 1 0 074 Variable 2 is predicted to equal 1 687

Determine whether this table represents a probability distribution X 0 1 2 3 P x 0 1 0 3 0 1 0 55 O No it is not a probability distribution O Yes it is a probability distribution

X 0 1 2 3 P x 0 3 0 1 0 15 0 45 Find the mean of this probability distribution Round your answer to one decimal pl

Complete parts a c X y y 1 2 1 0 O Linear 3 4 5 1 2 5 a Find a cubic function that models the data in the table Report th model with three decimal places 6 13 b Find a linear function that models the data Report the model wit three decimal places c Visually determine which model is the better fit for the data

a The percentage of normal and healthy persons considered to have a fever is Round to two decimal places as needed Points 0 of 4 Assume that human body temperatures are normally distributed with a mean of 98 19 F and a standard deviation of 0 64 F a A hospital uses 100 6 F as the lowest temperature considered to be a fever What percentage of normal and healthy persons would be considered to have a fever Does this percentage suggest that a cutoff of 100 6 F is appropriate b Physicians want to select a minimum temperature for requiring further medical tests What should that temperature be if we want only 5 0 of healthy people to exceed it Such a result is a false positive meaning that the test result is positive but the subject is not really sick Click to view page 1 of the table Click to view page 2 of the table Save

Save The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days a In a letter to an advice column a wife claimed to have given birth 308 days after a brief visit from her husband who was working in another country Find the probability of a pregnancy lasting 308 days or longer What does the result suggest b If the length of pregnancy is in the lowest 2 then the baby is premature Find the length that separates premature babies from those who are not considered premature a The probability that a pregnancy will last 308 days or longer is Round to four decimal places as needed

Points 0 of 4 a The percentage of women who meet the height requirement is Round to two decimal places as needed Sav A survey found that women s heights are normally distributed with mean 63 5 in and standard deviation 2 5 in A branch of the military requires women s heights to be between 58 in and 80 in a Find the percentage of women meeting the height requirement Are many women being denied the opportunity to join this branch of the military because they are too short or too tall b If this branch of the military changes the height requirements so that all women are eligible except the shortest 1 and the tallest 2 what are the new height requirements Click to view page 1 of the table Click to view page 2 of the table

K Find the indicated IQ score The graph to the right depicts IQ scores of adults and those scores are normally distributed with a mean of 100 and a standard deviation of 15 Click to view page 1 of the table Click to view page 2 of the table The indicated IQ score x is Round to one decimal place as needed Points 0 of 2 CELE 8 0 65

K Question 3 6 1 11 T The area of the shaded region is Round to four decimal places as needed HW Score 0 0 of 30 points O Points 0 of 2 Find the area of the shaded region The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1 Z 0 86 Z 1 28 Sav

omework Question 1 6 1 9 The area of the shaded region is Round to four decimal places as needed HW Score 0 0 of 30 points O Points 0 of 2 K Find the area of the shaded region The graph depicts the standard normal distribution with mean 0 and standard deviation 1 Click to view page 1 of the table Click to view page 2 of the table z 0 38 Sa

Part 1 2 3 More than 4 Part 2 of 2 4 121 67 39 44 7 11 61 25 18 51 19 85 70 84 31 77 18 88 14 91 33 25 35 66 16 00 8 86 9 50 11 40 5 35 5 74 b Can you conclude the number of siblings and number of children are not independent Use Excel and the a 0 01 level of significance We Choose one the null hypothesis There Choose one enough evidence at the a 0 01 level of significance to say that number of children

Consider the data set 20 30 39 44 52 How much does 52 deviate from the mean O 8 13 15 37 PO

Black Russian Terriers is 70 3 cm with a standard deviation of 2 54 A researcher believes that because of changes to breeding practices the true standard deviation 6 is not 2 54 To test this she selects a random sample of 28 mature Black Russian Terriers and finds that their mean height is 70 4 cm with a standard deviation of 3 37 Do these data provide enough evidence at the 0 01 level of significance to reject the claim that the standard deviation of mature Black Russian Terriers heights is equal to 2 54 Assume that the heights of mature Black Russian Terriers are approximately normally distributed Perform a two tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places If necessary consult a list of formulas a State the null hypothesis Ho and the alternative hypothesis H H D H 0 b Determine the type of test statistic to use Chi square Degrees of freedom c Find the value of the test statistic Round to three or more decimal places 0 d Find the two critical values Round to three or more decimal places and e Can reject the claim that the standard deviation of mature Black Russian Terriers heights is equal to 2 54 OYes No x O X S Un 0 0 OSO 0 0 P 00 020 0

ost appropriate response A hypothesis test is two tailed if the alternative hypothesis contains a Saty sigr

Assuming normality construct the requested confidence interval A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 246 milligrams with s 11 7 milligrams Construct a 95 confidence interval for the true mean cholesterol content of all such eggs 235 5 258 5 238 6 258 5 238 5 251 1 239 9 252 1 238 6 253 4

Determine the type of association Describe the association between the miles per gallon and weight of a vehicle These two variables are negatively correlated These two variables are not correlated These two variables are positively correlated

The following table lists the age of a cow in years and their milk production in gallons per week Assume that there is a significant linear relationship between X and Y and construct the equation of the linear regression line Age x 14 y 1 21x 38 54 0 75x 42 95 y 0 91x 39 56 14 y 0 82x 41 26 6 7 7 18 Milk Production y 37 0 35 4 33 3 33 1 32 3 33 7 30 2 29 6 10 11

State your decision to the significance test in terms of the null hypothesis Consumer data reports that 50 of shoppers who enter a store on Black Friday end up making a purchase In order to receive a bonus for their efforts the marketing department of an electronics retailer must show that their stores have exceeded this proportion A random sample of 320 Black Friday customers found that 176 of them ending up making a purchase Use the following results and a 0 01 significance level to state your decision about Ho Ho p 0 50 0 H p 0 50 Test statistic z 1 79 p value 0 0368 W There is not enough information Reject Ho Reject H

There is a positive correlation between an individual s level of education and their annual income Therefore it can be concluded that nothing can be concluded from a positive correlation individuals earn more because they have higher levels of education individuals have higher annual incomes because they have attained higher levels of education higher annual incomes are the result of higher levels of education individuals with higher levels of education tend to have higher annual incomes

Identify the margin of error for the confidence interval A recent poll reported a 95 confidence interval of 0 48 0 52 to estimate the proportion of Florida voters in favor of further property tax reform What is the margin of error for this confidence interval O 0 01 O 0 02 O 0 03 0 04 0 05

Part 1 of 4 State the null and alternate hypotheses Ho The shift and reported symptoms are H The shift and reported symptoms are not This hypothesis test is a right talled Part 1 4 Part 2 of 4 The P value is test X Find the P value Round your answer to four decimal places independent V independent

the most appropriate response In a statistical test of hypothesis what happens to the rejection region when the value of alpha the significance level is increased The rejection region increases in size It depends on the null hypothesis The rejection region is not affected The rejection region decreases in size

For the given significance test explain the meaning of a Type II error It has been reported that the proportion of college seniors who have student loans is 72 The state senate feels that the proportion of college seniors in their state who have student loans is much less than this and tests the following hypotheses Ho p 0 72 E p 0 72 In this situation explain the meaning of a Type II error Concluding that the proportion is greater than 0 72 when it actually isn t Concluding that the proportion is less than 0 72 when it actually isn t Not concluding that the proportion is less than 0 72 when it actually is Not concluding that the proportion is equal to 0 72 when it actually is Not concluding that the proportion is greater than 0 72 when it actually is

termine the critical value Using the z tables or t tables determine the critical value for the right tailed z test with a 0 10 1 282 1 645 2 576 1 96 2 326 0

the null and alternative hypotheses you would use to test the following situation Toasted O s are sold in boxes that have an advertised mean weight of 16 ounces If random sampling is periodically done to check the accuracy of the filling machine what is the set of hypotheses that should be used OHO 16 H 16 O Ho H 16 16 Ho 16 H 16 16 OH

the null hypothesis Is achieving a basic skill level in a subject independent to the location of the school A random sample of students categorized by the location of school and the number achieving basic skills in three subjects is shown in the table Location of School Reading Urban 43 Suburban 63 State the null hypothesis for a Chi Square test for independence Subject Math 42 66 Skill level in a subject is not independent of location Skill level in a subject is greater than location Cannot be determined Skill level in a subject is independent of location Science 38 65

the expected count under the null hypothesis A football coach was interested in whether the number of points his football team scored over the course of the season was uniform over all four quarters the same number of points scored each quarter The table gives a breakdown of points scorec per quarter over the course of the season and a Chi square goodness of fit test is performed Quarter 1 2 3 4 Points 30 60 40 70 Under the Chi square goodness of fit null hypothesis what would be the expected number of points scored in each of the four quarters 60 40 200

Conduct the appropriate hypothesis test and compute the test statistic It is claimed that the proportion of doctors who recommend the leading brand of ibuprofen is 90 To test this claim against the alternative that the actual proportion of doctors who recommend the leading brand is greater than 90 a random sample of 100 doctors results in 94 who indicate that they recommend the leading brand Compute the test statistic 1 33 1 67 1 67 1 33

the most appropriate response A hypothesis test is conducted in which the alternative hypothesis is that more than 10 of the population is left handed The p value for the test is calculated to be 0 40 Which statement is correct There is a 40 chance that more than 10 of the population is left handed There is little evidence to suggest that more than 10 of the population is left handed There is strong evidence to suggest that more than 10 of the population is left handed There is a 60 chance that more than 10 of the population is left handed

Use the model to make the appropriate prediction A doctor wanted to determine whether there was a relation between a male s age x and his HDL cholesterol y Data was collected on men ranging from 35 to 45 years old and a regression analysis to predict the HDL cholesterol from age gives the model HDL cholesterol 66 79 0 4797 age Predict the HDL cholesterol of a male who is 40 years old 1 56 67 86 48

No smoking The General Social Survey conducted a poll of 653 adults in which the subjects were asked whether they agree that the government should prohibit smoking in public places In addition each was asked how many people lived in his or her household The results are summarized in the following contingency table Agree No Opinion Disagree Send data to Excel 1 73 40 44 Part 0 4 Part 1 of 4 Household Size 2 100 52 63 3 57 26 46 4 42 11 33 Test the hypothesis of independence Use the a 0 10 level of significance and the P value method with the TI 84 Plus calculator What do you conclude 5 35 12 19 a State the null and alternate hypotheses Hourebold size and opinion Choose one independent X S CL