Statistics Questions and Answers

Ho 51 2 H 51 2 Your sample consists of 29 subjects with a mean of 49 2 and standard deviation of 4 18 Calculate the test statistic rounded to 2 decimal places

restaurant chain receives on average 24 pounds of meat on a daily basis The district manager of the restaurant chain decides to randomly sample 41 shipments from the company and finds a mean weight of 22 5 pounds with a standard deviation of 3 8 pounds Test at a 3 level of significance to determine whether or not the food distribution company sends less than they claim a Check all of the requirements that are satisfied random OF Ho the distribution is normal since 30 the distribution is normal since the a distribution is normal b Identify the null and alternative hypotheses 24 the distribution is normal since rup 10 and ng 10 H 24 OB c What type of hypothesis test should you conduct teft right or two tailed left tailed Oright tailed twe taited d Identify the appropriate significance level Make sure to enter your answer as a decimal

level of a 0 002 Ho 51 2 51 2 Ha You believe the population is normally distributed but you do not know the standard deviation You obtain a sample of size n 18 with mean M 44 5 and a standard deviation of SD 8 3 What is the test statistic for this sample Report answer accurate to three decimal places test statistic 3 425 OF What is the p value for this sample Report answer accurate to four decimal places p value 0 074

The Turners have purchased a house for 130 000 They made an initial down payment of 30 000 and secured a mortgage with interest charged at the rate of 9 year compounded monthly on the unpaid balance The loan is to b amortized over 30 yr Round your answers to the nearest cent a What monthly payment will the Turners be required to make b How much total interest will they pay on the loan c What will be their equity after 10 years d What will be their equity after 22 years

Roll a pair of dice until you get a double 1 X the number of times you roll the dic Finite Type Infinite discrete Continuous Survey the entire population of the earth Y the average weight O Finite Type Infinite discrete Continuous Weigh yourself on some alien planet Z your exact weight in pounds O Finite Type Infinite discrete O Continuous Survey the entire population of the earth W Finite Type Infinito digorato H the total size of the population Check Check Check Check

The mean miles per gallon of gas for a 2023 sedan is 67 mpg miles per gallon This distance is normally distributed with a sample standard deviation of 4 miles per gallon A newer engine model is suspected to improve miles per gallon A test is conducted where a sedan with the newer engine and 1 gallon of gas drives 30 times with a mean of 72 mpg Using an alpha of 0 02 conduct a hypothesis test to determine if the newer engine model improved the miles per gallon of the sedan Then interpret the decision within the context of the problem

MODELING REAL LIFE In a survey of 920 U S teenagers 81 said that helping others who are in need will be very important to them as adults The margin of error is 3 3 a Give an interval that is likely to contain the exact percentage of all U S teenagers who think that helping others who are in need will be very important to them as adults Between and b The population of teenagers in the U S is about 21 05 million Estimate the number of teenagers in the U S who think helping others will be very important to them as adults Between about million and million

The mean SAT score in mathematics is 532 The standard deviation of these scores is 36 A special preparation course claims that the mean SAT score of its graduates is greater than 532 An independent researcher tests this by taking a random sample of 9 students who completed the course the mean SAT score in mathematics for the sample was 563 Assume that the population is normally distributed At the 0 05 level of significance can we conclude that the population mean SAT score for graduates of the course is greater than 532 Assume that the population standard deviation of the scores of course graduates is also 36 Perform a one tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places and round your responses as specified below If necessary consult a list of formulas a State the null hypothesis Ho and the alternative hypothesis H Ho O H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places d Find the critical value Round to three or more decimal places 0 e Can we support the preparation course s claim that the population mean SAT score of its graduates is greater than 532 OYes No 1 X X O S OSO 0 0 P Q S 00 020 0 0

testers are streaming videos on the phones continuously The manufacturer claims that the population mean of the battery lifetimes of all phones of their latest model is 5 13 hours As a researcher for a consumer information service you want to test that claim To do so you select a random sample of 45 cell phones of the manufacturer s latest model and record their battery lifetimes Assume it is known that the population standard deviation of the battery lifetimes for that cell phone model is 2 42 hours Based on your sample follow the steps below to construct a 90 confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer s latest model Then state whether the confidence interval you construct contradicts the manufacturer s claim If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 45 phones of the manufacturer s latest model Take Sample Sample size 0 Point estimate 0 Population standard deviation 1 Critical value 0 Compute 0 00 Number of phones 45 Enter the values of the sample size the point estimate for the population mean the population standard deviation and the critical value you need for your 90 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute H 0 00 Sample mean 2 00 5 36 4 00 Sample standard Standard error Margin of error 90 confidence interval deviation 90 confidence interval b Based on your sample graph the 90 confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer s latest model 5 00 2 02 Enter the lower and upper limits on the graph to show your confidence interval For the point enter the manufacturer s claim of 5 13 hours 6 00 Population standard deviation 2 42 8 00 X Critical values 0 005 2 576 0 010 2 326 20 025 1 960 0 050 1 645 20 100 1 282 10 00 10 00 a BIRO M

ounces of coffee per cup In a test of the machine the discharge amounts in 16 randomly chosen cups of coffee from the machine were recorded The sample mean and sample standard deviation were 5 92 fluid ounces and 0 13 fluid ounces respectively If we assume that the discharge amounts are approximately normally distributed is there enough evidence to conclude that the population mean discharge differs from 6 fluid ounces Use the 0 10 level of significance 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 HO H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places d Find the two critical values Round to three or more decimal places and e Can we conclude that the mean discharge differs from 6 fluid ounces OYes O No X 5 0 0 X O S OSO 0 0 P P S 00 020 O

2 Mr Acosta a market researcher is doing a study to see if there is a relationship between the age of a young adult 18 to 35 years old and the type of movie preferred A random sample of 93 adults revealed the following data Test if age and movie preferred are independent at the 05 level Movie Type Drama Science Fiction Comedy Totals Person s Age 18 23 yr 24 29 yr 30 35 yr 10 15 11 12 11 8 9 8 16 31 34 35 Totals 36 31 33 100

Based on the data shown below calculate the correlation coefficient rounded to three decimal places X 1 2 3 4 5 6 7 8 y 11 85 16 1 19 65 20 2 23 25 27 9 28 85 31 7

annually in its leased cars is 13 520 miles with a standard deviation of 1820 miles The company recently starting using new contracts which require customers to have the cars serviced at their own expense The company s owner believes the mean number of miles driven annually under the new contracts is less than 13 520 miles He takes a random sample of 14 cars under the new contracts The cars in the sample had a mean of 13 006 annual miles driven Assume that the population is normally distributed Is there support for the claim at the 0 10 level of significance that the population mean number of miles driven annually by cars under the new contracts is less than 13 520 miles Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts Perform a one tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places and round your responses as specified below If necessary consult a list of formulas a State the null hypothesis Ho and the alternative hypothesis H Ho O H 0 b Determine the type of test statistic to use Choose one c Find the value of the test statistic Round to three or more decimal places d Find the critical value Round to three or more decimal places 0 e Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 13 520 miles OYes No H XI a S 0 0 Oso X 0 P Q 010 020 O O

patients To do so you select a random sample of 32 heart valve surgery patients and you record the surgery duration for each Assume it is known that the population standard deviation of the durations of all heart valve surgeries is 1 92 hours Based on your sample follow the steps below to construct a 99 confidence interval for the population mean of the surgery durations for all heart valve patients If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 32 heart valve patients Take Sample Sample size 0 Point estimate Population standard deviation Critical value 0 Compute 0 00 0 00 Number of patients 32 Enter the values of the sample size the point estimate for the population mean the population standard deviation and the critical value you need for your 99 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute 2 00 Sample mean 4 81 Standard error 4 00 Margin of error Sample standard 99 confidence interval 99 confidence interval deviation 1 21 6 00 X Confidence level 99 b Based on your sample enter the lower and upper limits to graph the 99 confidence interval for the population mean of the surgery durations for all heart valve patients 95 90 Population standard deviation 1 92 8 00 Critical value 20 005 2 576 20 025 1 960 20 050 1 645 10 00 10 00

nearest polling station Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed An article for the newspaper Keeping It Political claimed that the mean of this population is 6 45 km You want to test this claim so you select a random sample of 22 Rising Falls County voters and for each you record the distance the voter lives from their nearest polling station Follow the steps below to construct a 90 confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station Then state whether the confidence interval you construct contradicts the reporter s claim If necessary consult a list of formulas a Click on Take Sample to see the results for your random sample Take Sample Sample size 0 Point estimate Sample standard deviation 0 Critical value 0 Compute Enter the values of the sample size the point estimate of the mean the sample standard deviation and the critical value you need for your 90 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute 0 000 Number of people 0 000 22 2 000 Sample mean 4 795 Standard error 4 000 Margin of error 90 confidence interval b Based on your sample graph the 90 confidence interval for the population mean of all the distances the voters in Rising Falls County live from their nearest polling station Enter the values for the lower and upper limits on the graph to show your confidence interval For the point enter the claim 6 45 from the article 90 confidence interval 5 000 Sample standard deviation 2 312 6 000 X 8 000 Critical values 0 005 2 831 0 010 2 518 0 025 2 080 0 050 1 721 10 100 1 323 10 000 10 000

A hospital recruiting company for doctors is conducting a study to determine whether the average doctor s salary in thousands of dollars is significantly more than 88 thousand dollars A random sample of 28 doctors salaries in thousands of dollars is given in the table Test the hospital recruiting company s claim using a 10 level of significance Salary in thousands of dollars 96 84 92 45 92 97 85 7 89 25 86 32 86 04 88 23 89 45 90 66 94 03 95 39 93 72 104 39 80 8 86 26 88 83 93 94 94 72 98 08 101 02 82 27 88 78 87 54 94 03 82 69 84 52 89 9 Preliminary a Is it safe to assume that n 5 of all doctors earning a salary No Yes b Is n 30 No Yes c Since n 30 then determine whether the box plot of salaries contains any outliers t 80 85 90 Salary 95 There aren t outliers from the box plot 100 105

Do men score the same on average compared to women on their statistics finals Final exam scores of eleven randomly selected male statistics students and thirteen randomly selected female statistics students are shown below Male 91 78 93 89 83 82 91 78 79 71 64 Female 93 82 76 87 89 64 78 67 65 99 99 93 99 Assume both follow a Normal level of significance For this study we should use Select an answer a The null and alternative hypotheses would be Ho Select an answer H Select an answer distribution What can be concluded at the the o 0 01 level of significance Select an answer Select an answer C b The test statistic c The p value d The p value is a e Based on this we should f Thus the final conclusion is that please enter a decimal Select an answer Please enter a decimal Select an answer please show your answer to 3 decimal places Please show your answer to 4 decimal places Select an answer the null hypothesis The results are statistically significant at a 0 01 so there is sufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women The results are statistically significant at a 0 01 so there is sufficient evidence to conclude that the mean final exam score for the eleven men that were observed is not the same as the mean final exam score for the thirteen women that were observed The results are statistically insignificant at a 0 01 so there is insufficient evidence to conclude that the population mean statistics final exam score for men is not the same as the population mean statistics final exam score for women The results are statistically insignificant at a 0 01 so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women

The medical researcher is comparing two treatments for lowering cholesterol diet and meds The researcher wants to see if the patients who receive the recommendation to change their diet have less success lowering cholesterol compared to a prescription of meds A random sample of some patients who received the recommendation to change their diet and others who were prescribed meds was taken The results of how many did or did not lower their cholesterol are shown below Ho What can be concluded at the 0 10 level of significance For this study we should use Select an answer a The null and alternative hypotheses would be Hi Select an answer C Select an answer Select an answer Data on Diet vs Meds for Weight Loss Diet Select an answer Yes 391 No 228 b The test statistic c The p value d The p value is Q e Based on this we should f Thus the final conclusion is that Meds 601 284 Select an answer please enter a decimal Please enter a decimal Select an answer please show your answer to 3 decimal places Please show your answer to 4 decimal places Select an answer the null hypothesis The results are statistically significant at a 0 10 so there is sufficient evidence to conclude that the population of all patients who received the recommendation to change their diet is less likely to lower their cholesterol than the population of patients who are prescribed meds The results are statistically insignificant at a 0 10 so we can conclude that the success rate for all patients who receive the recommendation to change their diet is equal to the success rate for all patients who are prescribed meds The results are statistically insignificant at a 0 10 so there is insufficient evidence to conclude that the population of all patients who received the recommendation to change their diet is less likely to lower their cholesterol than the population of patients who are prescribed meds

Are job applicants with easy to pronounce last names just as likely to get called for an interview than applicants with difficult to pronounce last names 578 job applications were sent out with last names that are easy to pronounce and 797 identical job applications were sent out with names that were difficult to pronounce 355 of the applicants with easy to pronounce names were called for an interview while 454 of the applicants with difficult to pronounce names were called for an interview What can be concluded at the 0 01 level of significance For this study we should use Select an answer a The null and alternative hypotheses would be Ho Select an answer H Select an answer Select an answer Select an answer b The test statistic c The p value d The p value is a e Based on this we should f Thus the final conclusion is that Select an answer Select an answer please enter a decimal Please enter a decimal please show your answer to 3 decimal places Please show your answer to 4 decimal places Select an answer the null hypothesis The results are statistically insignificant at a 0 01 so there is insufficient evidence to conclude that among all possible applicants there is a differnece in the population proportion of callbacks for applicants with easy to pronounce last names and applicants with difficult to pronounce names The results are statistically insignificant at a 0 01 so we can conclude that the population proportion of people with easy to pronounce names who get called for an interview is equal to the population proportion of people with difficult to pronounce names who get called for an interview The results are statistically significant at a 0 01 so there is sufficient evidence to conclude that among all possible applicants there is a differnece in the population proportion of callbacks for applicants with easy to pronounce last names and applicants with difficult to pronounce names The results are statistically significant at a 0 01 so there is sufficient evidence to conclude that the proportion of the 578 applicants with easy to pronounce names who got called for an interview is not the same as the proportion of the 797 applicants with difficult to pronounce

ent 5 A computer is used to randomly select a number between 1 and 7000 Event A is selecting the number 875 6 A computer is used to randomly select a number between 1 and 6500 Event B is selecting a number less than 550 7 You randomly select one card from a standard deck Event C is selecting a Jack For each of the following count the number of outcomes possible Event 8 A bank is hiring for two positions a teller and a manager How many ways can these positions be filled if there are 19 people applying for the teller position and 5 people applying for the manager position 9 A menu has five choices for appetizers twelve for main dishes and four for desserts How many different meal combinations are available if you select an appetizer a main and a dessert of Outcomes 10 The access code for a vault consists of four digits The first digit must be even and the last digit cannot be a zero How many possible Work it out here Simple Answer

Jason just got his progress report Based solely on data points which measure of central tendency should be used based on the following grades 99 85 16 60 88 85 88 90 Mean Median Mode Range

The following shows a list of a student s homework grades for a grading period 80 90 84 86 95 Which center should be used to best represent the data The mean grade is 87 The median trade is 86 The mode of the grades is 80 The range of the grades is 15 LOVE

13 Employees at a certain company were asked how long they had been employed for that company The frequency table of the results is shown below No of Employees Relative frequency 5 10 25 10 5 3 Years Employed 1 5 6 10 11 15 16 20 21 25 26 30 a Complete the column of relative frequencies Show all work Round to 3 decimal places 6 pts b What percentage of employees have worked for the company for at least 21 years 3 pts

You want to know if a chiropractor or an acupuncture treatment actually improves blood pressure Which method of data collection should you use Perform an Experiment Use a Simulation

A survey organization conducted telephone interviews in December 2008 in which 1009 randomly selected adults in the US responded to the question At the present time do you think television commercials are an effective way to promote a new product Of the 1009 adults surveyed 676 responded yes In December 2007 622 of 1020 randomly selected adults in the US had responded yes to the same question Suppose a hypothesis test is carried out to test the hypothesis that the proportion who would respond yes to the question changed from Dec 2007 to Dec 2008 Compute the appropriate sample proportions and compute the test statistic for this test 8 pts

In a study about adult health in Gwinnett County which method of data collection would have the least amount of bias Surveying all the residents at 2 senior citizens facilities in Gwinnett one day Surveying everyone who just graduated from Phoenix High School this year Surveying every 3rd person leaving the a gym in Lawrenceville one day Surveying every resident in Lawrenceville Duluth and Suwanee

According to her doctor Mrs Hill s cholesterol level is higher than only 10 of the females aged 50 and over The cholesterol levels among females aged 50 and over are approximately normally distributed with a mg and a standard deviation of 20 mean of 240 mg What is Mrs Hill s dL dL cholesterol level Carry your intermediate computations to at least four decimal places Round your answer to one decimal place mg dL

1 U S Population An arithmetic sequence is the discrete analog to a linear function Both an arithmetic sequence and a linear function assume a constant additive rate of change a According to the U S Census Bureau the official U S population was 248 7 million in 1990 and 308 7 million in 2010 What was the average change in population per year from 1990 through 2010 b The official U S population was 281 4 million in 2000 Let p be an arithmetic sequence that represents the U S population in millions of persons n years after 2000 Verify that p 281 4 This is the initial condition for your sequence c Use your answer from part a to write a recursive formula for the sequence p d Write an explicit formula for the arithmetic sequence p assuming that p 281 4 e Use the information from parts b c and d to estimate the U S population in 2010 2015 and 2020

1 Michelle recorded the ages of members of her international dance troupe 18 23 56 38 24 25 45 22 21 18 19 35 28 44 57 36 34 25 26 18 20 29 30 41 21 30 24 18 27 22 19 27 22 19 20 33 23 44 20 19 25 21 19 32 26 20 34 26 25 19 21 42 33 28 Create a Stem and leaf plot for the data and determine the C T s range and skew Is the skew surprising Explain why or why not

Show your work Make sure you answer the questions completely 1 Michelle recorded the ages of members of her international dance troupe 18 23 56 38 24 25 45 22 21 18 19 35 28 44 57 36 34 25 26 18 20 29 30 41 21 30 24 18 27 22 19 27 22 19 20 33 23 44 20 19 25 21 19 32 26 20 34 26 25 19 21 42 33 28 Create a Stem and leaf plot for the data and determine the C T s range and skew Is the skew surprising Explain why or why not Name Hr 2 Create an appropriate properly labeled histogram for the da presented in 1 Include estimated C T s on the graph

1 point This is a list of things the average QM student uses each semester Here are the quantities and prices for these items in 1992 and 2022 Item 1992 Quantity 1992 Price 2022 Quantity 2022 Price Coffee Notebooks Pens Textbook 42 7 10 1 0 75 2 00 1 50 35 00 44 6 8 n a 2 50 4 00 3 50 n a Calculate the QM Student Price Index for 2022 1992 100 answer

CPI Problem 4 1 point This is a list of things the average QM student uses each semester Here are the quantities and prices for these items in 1992 and 2022 Item 1992 Quantity 1992 Price 2022 Quantity 2022 Price Coffee 45 7 10 1 Notebooks Pens Textbook 0 75 2 00 1 50 35 00 44 6 8 n a 2 50 4 00 3 50 n a Calculate the QM Student Price Index for 2022 1992 100 answer

It is claimed that the average Canadian family spends 22 percent of their disposable income on food In a random sample of 960 families the mean proportion of disposable income spent on food was 21 percent Conduct the the hypothesis that P the proportion of disposable income spent on food is 22 percent against the alternative hypothesis that it is less than 22 percent Conduct a test using a 05 What is the value of the standard score standard score The final conclusion is A We can reject the null hypothesis that P 22 B There is not sufficient evidence to reject the null hypothesis that P 22 Note You can earn partial credit on this problem

Textbooks are expensive But do students in some Cegep programs spend more on their textbooks than students in other programs A sample of 491 students were asked how much they spent on textbooks for one semester The observed results of the study are found below Cost of Textbooks Science Nursing Communications Total less than 500 dollars 53 46 41 140 500 to 750 dollars 67 41 60 168 more than 750 dollars 59 55 69 183 Total 179 142 170 491 With this information construct a table of expected values Cost of Textbooks Science Nursing Communications less than 500 dollars 500 to 750 dollars more than 750 dollars Is there an association between program and cost of textbooks using a 0 01 x The critical value is x The final conclusion is A We can reject the null hypothesis that there is no association between program and cost of textbooks B There is not sufficient evidence to reject the null hypothesis that there is no association between program and cost of textbooks

1 point Do males in Cegep spend more time doing paid work than females A sample of 722 students were asked how many hours per week they worked for pay The observed results of the study are found below Hours of Work Males Females Total 0 5 246 175 421 6 15 78 72 150 16 25 34 57 91 26 or more 25 35 60 Total 383 339 722 With this information construct a table of expected values Hours of Work Males Females 0 5 6 15 16 25 26 or more Is there an association between gender and hours of work for pay using a 0 01 x 0 The critical value is x The final conclusion is A There is not sufficient evidence to reject the null hypothesis that there is no association between gender and working

A QM student is trying to figure out if there is an association between the colour of the shirt he is wearing and whether the teacher assigns homework He collects data over 33 days The observed results of the study are found below Blue Brown Total Yes 7 7 14 No 7 12 19 Total 14 19 33 With this information construct a table of expected values Blue Brown Yes No Is there an association between shirt colour and homework using a 0 01 The critical value is x The final conclusion is A There is no association between shirt colour and whether the teacher assigns homework B There is probably an association between shirt colour and whether the teacher assigns homework

ConfidenceStatements Problem 12 1 point A Sports Canada survey asked 1820 Canadian men between the ages of 18 and 35 if they play soccer at least once a week Use the given data to find the 95 confidence interval estimate of the population proportion p Assume that the population has a normal distribution Sample size n 1820 Sample proportion 21 percent 0 P 0 Note You can earn partial credit on this problem

ConfidenceStatements Problem 7 1 point a In a sample of 750 Brossard residents 37 percent said that they had watched the Canadiens practice at the Bell Complex Calculate a 95 confidence interval for the proportion Brossard residents who have watched the Canadiens practice at the Bell Complex Confidence interval b Which of the following is the correct interpretation for your answer in part a A We can be 95 confident that the proportion Brossard residents in this sample who have watched the Canadiens practice at the Bell Complex lies in the interval OB We can be 95 confident that the proportion of Brossard residents who have watched the Canadiens practice at the Bell Complex lies in the interval C 95 of the population of Brossard residents have watched the Canadiens practice at the Bell Complex D None of the above

At least one of the answers above is NOT correct 1 of the questions remains unanswered A O A We can reject the null hypothesis that 31 1 B There is not sufficient evidence to reject the null hypothesis that 31 1 Note You can earn partial credit on this problem incorrect A hospital wants to know the average wait time of patients at emergency In a random sample of 140 patients the mean wait time was 29 minutes with a standard deviation of 10 1 minutes Conduct the the hypothesis that the mean wait time in minutes is 31 1 minutes against the alternative hypothesis that it is less than 31 1 minutes Conduct the test using a 05 What is the value of the standard score standard score The final conclusion is correct

ConfidenceStatements Problem 9 1 point Use the given confidence interval limits to find the point estimate p and the margin of error E 0 75 p 0 87 p E Note You can earn partial credit on this problem

For the given data find Ex n anda Ex n X 13 9 14 10 16 19 13 13

ConfidenceStatements Problem 6 1 point a In a sample of 400 Sherbrooke pet owners 64 percent had dogs Calculate a 95 confidence interval for the proportion of dog owners in Sherbrooke Confidence interval b Which of the following is the correct interpretation for your answer in part a A We can be 95 confident that the proportion of dog owners in this sample lies in the interval B We can be 95 confident that the proportion of dog owners in Sherbrooke lies in the interval C 95 of people in Sherbrooke own dogs D None of the above Note You can earn partial credit on this problem

1 point idenceStatements Problem 10 A public opinion research firm conducted a survey on the mean number of music downloads per month Use the given data to find the 95 confidence interval estimate of the population mean Assume that the population has a normal distribution Sample size n 855 Mean 43 Standard deviation s 8 Note You

ConfidenceStatements Problem 8 1 point a For 500 randomly selected households the mean time spent eating dinner together is 4 5 hours per week with a standard deviation of 1 3 hours Calculate a 95 confidence interval for the mean time spent eating dinner together Confidence interval b Which of the following is the correct interpretation for your answer in part a A 95 of this sample of 500 spent time eating dinner together B We can be 95 confident that the mean time spent eating dinner together lies in the interval C None of the above

1 point ements Probler A public opinion research firm conducted a survey on the proportion of Montrealers who eat at a restaurant at least once a week Use the given data to find the 95 confidence interval estimate of the population proportion p Assume that the population has a normal distribution Sample size n 585 Sample proportion 48 percent Nat

ConfidenceStatements Problem 5 1 point a Fifty randomly selected commuters were asked how long they had to wait for the bus that morning The mean of their answers was 6 minutes with a standard deviation of 0 63 minutes Calculate a 95 confidence interval for the mean wait time for all commuters Confidence interval b Which of the following is the correct interpretation for your answer in part a A We can be 95 confident that the mean wait time for this sample of 50 lies in the interval OB 95 of the mean wait times lie in the interval C We can be 95 confident that the mean wait time lies in the interval OD None of the above

HypothesisTests Problem 10 It is claimed that the average Canadian family spends 22 percent of their disposable income on food In a random sample of 960 families the mean proportion of disposable income spent on food was 21 percent Conduct the the hypothesis that P the proportion of disposable income spent on food is 22 percent against the alternative hypothesis that it is less than 22 percent Conduct a test using a 05 What is the value of the standard score 1 point standard score The final conclusion is A We can reject the null hypothesis that P 22 B There is not sufficient evidence to reject the null hypothesis that P 22

HypothesisTests Problem 9 1 point A hospital wants to know the average wait time of patients at emergency In a random sample of 140 patients the mean wait time was 29 minutes with a standard deviation of 10 1 minutes Conduct the the hypothesis that the mean wait time in minutes is 31 1 minutes against the alternative hypothesis that it is less than 31 1 minutes Conduct the test using a 05 What is the value of the standard score standard score The final conclusion is OA We can reject the null hypothesis that 31 1 OB There is not sufficient evidence to reject the null hypothesis that 31 1

CPI Problem 1 1 point Last year I bought a new lawnmower for 250 dollars What was the equivalent value in 2002 dollars The CPI in 2002 was 100 0 and the CPI in 2022 was 151 2 Answer

1 point A researcher wants to test the claim that Cegep students spend 19 6 hours in paid employment each week In a random sample of 110 students the mean time spent working each week was 21 hours with a standard deviation of 10 6 hours Test the claim that Cegep students spend 19 6 hours per week in paid employment The alternative hypothesis is that students spend more than 19 6 hours per week in paid employment Conduct the test using a 05 What is the value of the standard score standard score The P Value is The final conclusion is A We can reject the null hypothesis that 19 6 B There is not sufficient evidence to reject the null hypothesis that 19 6