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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 "=300 ₂016 290 Ha <= 89 (a) Formulate the mull 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.) -12-0 pl-20 x x (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test calculate the test statistic (Use K Round your answer to two decimal places) Report the p-value (Round your answer to four decimal places p-value 03804

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 "=300 ₂016 290 Ha <= 89 (a) Formulate the mull 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.) -12-0 pl-20 x x (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test calculate the test statistic (Use K Round your answer to two decimal places) Report the p-value (Round your answer to four decimal places p-value 03804

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 ₁290 "300 296 (a) Formulate the mull 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.) M₂ 1-12-0 1-210 x x (b) Assume that experience with the satisfaction rating scale indicates that a population star urd deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic (Use , Round your answer to two decimal places. 0.00 Report the value (Hound your answer to four decimal places D-value-0 3008 At a 0.05 level of signdicance what is your conclusion Do not reject. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. EM B 649
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 ₁290 "300 296 (a) Formulate the mull 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.) M₂ 1-12-0 1-210 x x (b) Assume that experience with the satisfaction rating scale indicates that a population star urd deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic (Use , Round your answer to two decimal places. 0.00 Report the value (Hound your answer to four decimal places D-value-0 3008 At a 0.05 level of signdicance what is your conclusion Do not reject. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. EM B 649
p-value - 038568 At a 0.05 level of significance what is your conclusion? Do not reject H There is not sufficient evidence to conclude that the pepulation mean satisfaction scores differ for the two retailers. O Reject H There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. De not reject - There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers Reject H. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers x (c) Which retailer, if either, appears to have the greater customer satisfaction? Supermarket 1 O Supermarket 3 neither Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers (Usex-X. Round your answers to two decimal places) x to 325 x
Transcribed Image Text:p-value - 038568 At a 0.05 level of significance what is your conclusion? Do not reject H There is not sufficient evidence to conclude that the pepulation mean satisfaction scores differ for the two retailers. O Reject H There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. De not reject - There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers Reject H. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers x (c) Which retailer, if either, appears to have the greater customer satisfaction? Supermarket 1 O Supermarket 3 neither Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers (Usex-X. Round your answers to two decimal places) x to 325 x
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