**Customer Satisfaction Ratings Analysis****Overview:**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:** [data10-07.xlsx](#)**Data:**| | Publix | Trader Joe's ||---------------|--------------|---------------|| Sample Size | \( n_1 = 250 \) | \( n_2 = 300 \) || Mean Score | \( \bar{x}_1 = 86 \) | \( \bar{x}_2 = 85 \) |**Statistical Analysis:****a. Hypotheses Formulation:**Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers:- Null Hypothesis (\( H_0 \)): \( \mu_1 - \mu_2 = 0 \)- Alternative Hypothesis (\( H_a \)): \(\mu_1 - \mu_2 \neq 0 \)**b. Standard Deviation and p-Value:**Assume that the Consumer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption for both retailers. Perform the hypothesis test and report the p-value.**Conclusion at a 0.05 Significance Level:**Choose the correct conclusion based on the p-value:1. Reject \( H_0 \). There is sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers.2. Do not reject \( H_0 \). There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers.**c. Retailer Comparison:**Determine which retailer, if either, appears to have the greater customer satisfaction.- Select your answer based on the analysis.**Confidence Interval:**Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. Enter negative values as needed.\[ \_\_\_\_\_, \_\_\_\_\_ \]

Answered: Image /qna-images/answer/6ae0c15c-2dbb-436e-8a36-51495e606667.jpg

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: data10-07.xlsx Publix Trader Joe's n1 = 250 n2 = 300 T1 = 86 T2 = 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. Ho : 41 - u2 v - Select your answer - greater than 0 greater than or equal to 0 b. Assume th imer Reports satisfaction rating scale indicates that a population standard deviation of 12 is a reasonable assumption less than C for both retai less than or equal to 0 test and report the p-value. equal to 0 p-value = not equal to 0 At a 0.05 lever or signiricance wnat is your conclusion? I. Reject Ho. There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. II. Do not reject Ho. There is not sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. III. 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 sufficient evidence to conclude that the mean satisfaction scores differ for the two retailers. Select your answer - c. Which retailer, if either, appears to have the greater customer satisfaction? Select your answer - Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. Enter negative values as negative numbers, if any. to (to 2 decimals)