Question
7. Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nations largest retailers (Consumer Reports, March 2012). Each survey respondent
7. Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for thenations largest retailers (Consumer Reports, March 2012). Each survey respondent isasked to rate a specified retailer in terms of six factors: quality of products, selection,value, checkout efficiency, service, and store layout. An overall satisfaction scoresummarizes the rating for each respondent with 100 meaning the respondent iscompletely satisfied in terms of all six factors. Sample data representative of independentsamples of Target andWalmartcustomers are shown below. Target: n1=25, x1=79
Walmart: n2=30, x2=71
a. Formulate the null and alternative hypotheses to test whether there is a differencebetween the population mean customer satisfaction scores for the two retailers. b. Assume that experience with the Consumer Reports satisfaction rating scaleindicates that a population standard deviation of 12 is a reasonable assumption forboth retailers. Conduct the hypothesis test and report the p-value. (no need toreport the p-value). At a .05 level of significance what is your conclusion? c. Which retailer, if either, appears to have the greater customer satisfaction?Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers.
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