escA consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on avariety 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 iscompletely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below.Ho:Ha! 1Supermarket 1n1(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. (Let μ₁Supermarket 1's customers, and let μ₂ = the population mean satisfaction score for Supermarket 2's customers. Enter != for # as needed.)= 280X1 = 8365°FMostly sunnyμ1 – μ2 = 0μ1! = μ2Supermarket 2X(b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test.Calculate the test statistic. (Use #₁ - ₂. Round your answer to two decimal places.)1.16XReport the p-value. (Round your answer to four decimal places.)p-value=2460XSupermarket 12At a 0.05 level of significance what is your conclusion?Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.72 = 300x2 == 82(c) Which retailer, if either, appears to have the greater customer satisfaction?*315 40%5T64+&7IAA*8hpf10DDIf11101W112InsertU= the population mean satisfaction score forprt scdeletebackspacehomeDlockBE6:18 PM10/9/2022endDE UDhome KescHo:Haμl μ2=0-μl! = µ2www.webassign.net/web/Student/Assignment-Responses/submit?dep=30411641&tags=autosave#Q2-65°FMostly sunny(b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test.Calculate the test statistic. (Use H₁ - H₂. Round your answer to two decimal places.)1.16XReport the p-value. (Round your answer to four decimal places.)p-value.2460XAt a 0.05 level of significance what is your conclusion?O Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.O Reject HoO Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers.neitherXX(c) Which retailer, if either, appears to have the greater customer satisfaction?O Supermarket 1O Supermarket 2Need Help?Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Use X₁ X₂. Round your answers to two decimal places.)toRead It*3QWE$4R%5T64+&167IAA*tohpDILJf10DDIF11A12 Insertprt scdeletebackspacehome店面lockend6:18 PM10/9/20227enterINODO UShome⠀004

Question

Accepted Answer

Given
n1=280, n2=300, level of significance ɑ=0.05 
x̄1=83,  x̄2=82