Publix Trader Joe's n, = 250 X, = 86 n2 = 300 Xz = 85 %3D
Supermarket Customer Satisfaction. Consumer Reports uses a survey of readers to
obtain customer satisfaction ratings for the nation’s largest supermarkets (Consumer
Reports, https://www.consumerreports.org/products/grocery-storessupermarkets/ratings-overview/). 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. Sample data representative of independent
samples of Publix and Trader Joe’s customers are shown below.
a. Formulate the null and alternative hypotheses to test whether there is a
difference between the population
two retailers.
b. Assume that experience with the Consumer Reports satisfaction rating scale
indicates that a population standard deviation of 12 is a reasonable assumption
for both retailers. Conduct the hypothesis test and report 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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