An advertisement for the Valu-For-Your-Money supermarket claims that customer service is rated 9.8 (out of 10). A disgruntled customer disagrees with this claim. The customer randomly selected a sample of 100 customers and found that the sample meanrating was 8.7 with a sample standard deviation of 0.8.
(a) Calculate the 97% confidence interval for the population mean customer service rating. Assist the customer in conducting a hypothesis test, at the 3% level of significance, to determine whether the claim on the advertisement was overstated.
(b) State the null and the alternative hypothesis for this test.
(c) Calculate the value of the test statistic for this test.
(d) Calculate the p-value for this test.
(e) Use the p-value approach to state the conclusion of this test, giving reason for your answer.