QuestionAn employment information service claims the mean annual salary for senior level product engineers is $\$ 99,000$. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At $\alpha=0.05$, test the claim that the mean salary is $\$ 99,000$. Complete parts (a) through (e) below. Assume the population is normally \begin{tabular}{|rrrr|} \hline \multicolumn{4}{|c|}{ Annual Salaries } \\ \hline & & & \\ 100,721 & 96,352 & 93,492 & 112,654 \\ & & & \\ & & & \\ 82,506 & 74,216 & 76,957 & 80,939 \\ 102,543 & 76,238 & 103,925 & 104,037 \\ 91,066 & 82,017 & 85,015 & 110,330 \\ \hline \end{tabular} distributed. (a) Identify the claim and state $\mathrm{H}_{0}$ and $\mathrm{H}_{\mathrm{a}}$. $\mathrm{H}_{0}: \mu=99000$ $\mathrm{H}_{\mathrm{a}}: \mu$ $\mu$ (Type integers or decimals. Do not round.) The claim is the null hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are $t_{0}=$ $\square$ . (Use a comma to separate answers as needed. Round to two decimal places as needed.)