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 $41,900 and a standard deviation of $8800. In CountyB, a random sample of 8 residents has a mean annual income of $38,500 and a standard deviation of $5100. At =0.10, answer parts(a) through(e). Assume the population variances are not equal. Ifconvenient, use technology to solve the problem.

(a) Identify the claim and state H0 and Ha.

Which is the correct claimbelow?

A."The mean annual income in county A is less than in countyB."

B."The mean annual incomes in counties A and B are notequal."

C."The mean annual incomes in counties A and B areequal."

D."The mean annual income in county A is greater than in countyB."

What are H0 and Ha?

Which hypothesis is theclaim? The nullhypothesis, H0 or The alternativehypothesis, Ha

Find the criticalvalue(s) and identify the rejectionregion(s).

Enter the criticalvalue(s) below.(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers asneeded.)

Select the correct rejectionregion(s) below.

A.t>t0

B.t

C.tt0

D.t0

c) Find the standardized test statistic. (Type an integer or decimal rounded to three decimal places asneeded.)

t=

Decide whether to reject or fail to reject the null hypothesis.

Interpret the decision in the context of the original claim.

At the 10% significancelevel, ( A or B)

A-there is not

B-there is

enough evidence to support the personneldirector's claim.