QuestionA personnel director in a particular state claims that the meanannual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 18 residents has a mean annual income of $\$ 40,800$ and a standard deviation of $\$ 8800$. In County B, a random sample of 8 residents has a mean annual income of $\$ 37,600$ and a standard deviation of $\$ 5800$. At $\alpha=0.10$, answer parts (a) through (e). Assum the population variances are not equal. If convenient, use technology to solve the problem. D. "The mean annual incomes in counties $A$ and $B$ are not equal."
What are $\mathrm{H}_{0}$ and $\mathrm{H}_{\mathrm{a}}$ ? The null hypothesis, $H_{0}$, is $\mu_{1} \leq \mu_{2}$. The alternative hypothesis, $H_{a}$, is $\mu_{1}>\mu_{2}$. Which hypothesis is the claim? The null hypothesis, $\mathrm{H}_{0}$ The alternative hypothesis, $\mathrm{H}_{\mathrm{a}}$ (b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below. 1.345 (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)