An employment information service claims the mean annual salary for senior level product engineers is $98,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table at the left. At a = 0.05, test the claim that the mean salary is $98,000.

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value(s) and identify the rejection region(s), 

(c) Find the standardized test statistic t, 

(d) Decide whether to reject or fail to reject the null hypothesis, and 

(e) Interpret the decision in the context of the original claim. Assume the population is normally distributed.

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Annual salaries 100,651 82,505 102,450 91,091 96,309 74,193 76,184 82,088 93,551 77,012 104,020 112,717 80,970 103,982 110,316 85,063