The HR manager of an organization is bargaining to get a new dental insurance plan. He claims that the yearly family dental expenses of its employees exceeds AED 20000. A random sample of 16 employees reveals that the average family dental expenses is AED 20500 and the standard deviation is AED 600. Assuming normality of the yearly family dental expenses, at 5% significance level can we support the manager's claim? (1) State the hypotheses. (2) Check the assumptions of the test and compute the test statistic (Round your answer to three decimal place). (3) Find the p- value (Round your answer to three decimal places). (4) Make a decision and state the conclusion.

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