Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers (Consumer Reports, March 2012). Each survey respondent is asked to rate a specified retailer in terms of six factors: 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 six factors. Sample data representative of independent samples of size n1 = 25 for Target and size n2 = 30 for Walmart customers give the following customer satisfaction scores' sample averages:  = 79 for Target and  = 71 for Walmart. You formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. Experience with the Consumer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption for both retailers. Use  = .05. You compute the value of the test statistic. You compute the p-value and find it is equal to???. Your conclusion is to reject or not reject H0?

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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Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest retailers (Consumer Reports, March 2012). Each survey respondent is asked to rate a specified retailer in terms of six factors: 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 six factors. Sample data representative of independent samples of size n1 = 25 for Target and size n2 = 30 for Walmart customers give the following customer satisfaction scores' sample averages:  = 79 for Target and  = 71 for Walmart. You formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. Experience with the Consumer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption for both retailers. Use  = .05. You compute the value of the test statistic. You compute the p-value and find it is equal to???. Your conclusion is to reject or not reject H0?

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