Consumer Reports uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets (Consumer Reports website). 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. Excel File: data 10-07.x|sx Publix Trader Joe's m = 250 $12 = 300 51 = 86 52 = 85 a. Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. 3....-. H....._ 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. p-value = (to 3 decimals] At a 0.05 level of significance what is your conclusion? I. Reject Ho. There is not sufcient evidence to conclude that the mean satisfaction scores differ for the two retailers. II. Do not reject Ho. There is not sufcient evidence to conclude that the mean satisfaction scores differ for the two retailers. II. Reject Ho. There is sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. IV. Do not reject Ho. There is sufcient evidence to conclude that the mean satisfaction scores differ for the two retailers. -Se1ectun.uran_smer- V