A personnel director in a particular state claims that the mean annual income is greater in one of thestate's counties(county A) than it is in another county(county B). In CountyA, a random sample of 6 residents has a mean annual income of $42,000 and a standard deviation of $8100. In CountyB, a random sample of 8 residents has a mean annual income of $38,800 and a standard deviation of $5200. At =0.10, Assume the population variances are not equal. Ifconvenient, use technology to solve the problem.

(a) Identify the claim and state H0 and Ha

(b) Find the critical values and identify the rejection regions

(c) Find the standardized test statistic

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

(e) Interpret the decision in the context of the original claim