A personnel director in a particular state claims that the mean annual 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 :In County B, a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $5900. At a = 0.10, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem.mean annual income of $41.100 and a standard deviation of $8200.(a) Identify the claim and state H, and Ha-Which is the correct claim below?O A. "The mean annual income in county A is greater than in county B."O B. "The mean annual income in county A is less than in county B."O C. "The mean annual incomes in counties A and B are not equal."O D. "The mean annual incomes in counties A and B are equal."What are Ho and Ha?The null hypothesis, Ho, isV. The alternative hypothesis, Ha, isWhich hypothesis is the claim?O The alternative hypothesis, HaO The null hypothesis, Ho(b) Find the critical value(s) and identify the rejection region(s).Enter the critical value(s) below.(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)Select the correct rejection region(s) below A personnel director in a particular state claims that the mean annual 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 $41,100 and a standard deviation of $8200.In County B, a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $5900. At a= 0.10, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem.The null hypothesis, Ho(b) Find the critical value(s) and identify the rejection region(s).Enter the critical value(s) below.(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)Select the correct rejection region(s) below.O A. - to toO D. tto(c) Find the standardized test statistic.t=E (Type an integer or decimal rounded to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.the null hypothesis.(e) Interpret the decision in the context of the original claim.At the 10% significance level,V enough evidence to support the personnel director's claim.

Question

A personnel director in a particular state claims that the mean annual 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 :In County B, a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $5900. At a = 0.10, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem.mean annual income of $41.100 and a standard deviation of $8200.(a) Identify the claim and state H, and Ha-Which is the correct claim below?O A. &#34;The mean annual income in county A is greater than in county B.&#34;O B. &#34;The mean annual income in county A is less than in county B.&#34;O C. &#34;The mean annual incomes in counties A and B are not equal.&#34;O D. &#34;The mean annual incomes in counties A and B are equal.&#34;What are Ho and Ha?The null hypothesis, Ho, isV. The alternative hypothesis, Ha, isWhich hypothesis is the claim?O The alternative hypothesis, HaO The null hypothesis, Ho(b) Find the critical value(s) and identify the rejection region(s).Enter the critical value(s) below.(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)Select the correct rejection region(s) below A personnel director in a particular state claims that the mean annual 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 $41,100 and a standard deviation of $8200.In County B, a random sample of 8 residents has a mean annual income of $39,100 and a standard deviation of $5900. At a= 0.10, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem.The null hypothesis, Ho(b) Find the critical value(s) and identify the rejection region(s).Enter the critical value(s) below.(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)Select the correct rejection region(s) below.O A. - to toO D. t>to(c) Find the standardized test statistic.t=E (Type an integer or decimal rounded to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.the null hypothesis.(e) Interpret the decision in the context of the original claim.At the 10% significance level,V enough evidence to support the personnel director's claim.

Accepted Answer

Given that 
Sample sizes n1 =18 , n2=8
Sample standard deviation s1=8200
s2=5900
NOTE:- According to…