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An advertisement for the Value-For-Your-Money supermarket claims that customer service is rated 9.8 (out of 10). A disgruntled customer disagrees with this claim. The customer

An advertisement for the Value-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 85 customers and found that the sample mean rating was 8.7 with a sample standard deviation of 0.8. Assist the customer in conducting a hypothesis test, at the 5% level of significance, to determine whether the claim on the advertisement was overstated. (a) State whether this test is a left-tailed test, right-tailed test or a two-tailed test. Give reason for your answer. (b) State the null and the alternative hypothesis for this test. (c) Calculate the value of the test statistic for this test. (d) Determine the critical region for this test? (e) Use the classical approach (the critical value approach) to state the conclusion of this test. Give reason for your answer.

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