A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as: qualty of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarzes the rating for each respondent with 100 meanim the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets customers are shown below. Supermarket 1 Supermarket 2 71-280 ₂-300 (a) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for t Two retailers score for Supermarket 1% cuntomers, and let the population mean satisfaction score for Supermarket 2's customers. Enter - for as needed.) - My! MA (b) Assume that experience with the r Calculate the test statistic (Use - Round your a indicates that a population standard two decimal places) Report the p-value. (Round your answer to four decimal places) p-value- At a 0.05 level of significance what is your conclusion? Do not reject H There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers O Reject Hy. There is sufficient evidence to conclude that the population mean satisfaction scores offer for the two retailers Rject H There is not sufficient evidence to conclude that the population mean satisfaction scores offer for the two retailers O Do not reject Hg There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers (c) which retailer, either, appears to have the greater customer satisfaction) O Supermarket 1 O Supermarket 2 O nether Provide a 95% confidence interval for the difference l tween the population mean customer satisfaction scores for the two retailers (Use Conduct the hypothesis test Round your answers to the decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket
based on a variety of factors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning
the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets customers are shown below.
Supermarket 1 Supermarket 2
7₁-280
₂-300
7₁-83
(6) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let , the population mean satisfaction
score for Supermarket 1's customers, and let the population mean satisfaction score for Supermarket 2's customers. Enter - for as needed.)
Ho!
M₂
(b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 15 is a reasonable assumption for both retailers, Conduct the hypothesis test.
Calculate the test statistic (Use ,- y Round your answer to two decimal places)
Report the p-value. (Round your answer to four decimal places)
p-value
At a 0.05 level of significance what is your conclusion?
Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers
Reject Hy. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers
Reject H₂. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers
O Do not reject Mg. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.
(c) which retailer, it either, appears to have the greater customer satisfaction?
O Supermarket 1
O Supermarket 2
Oneither
Provide a 95 % confidence interval for the difference between the population mean customer satisfaction scores for the two retailers (Use - Round your answers to two decimal places)
Transcribed Image Text:A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as: quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets customers are shown below. Supermarket 1 Supermarket 2 7₁-280 ₂-300 7₁-83 (6) Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let , the population mean satisfaction score for Supermarket 1's customers, and let the population mean satisfaction score for Supermarket 2's customers. Enter - for as needed.) Ho! M₂ (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 15 is a reasonable assumption for both retailers, Conduct the hypothesis test. Calculate the test statistic (Use ,- y Round your answer to two decimal places) Report the p-value. (Round your answer to four decimal places) p-value At a 0.05 level of significance what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers Reject Hy. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers Reject H₂. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers O Do not reject Mg. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. (c) which retailer, it either, appears to have the greater customer satisfaction? O Supermarket 1 O Supermarket 2 Oneither Provide a 95 % confidence interval for the difference between the population mean customer satisfaction scores for the two retailers (Use - Round your answers to two decimal places)
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