Question

An employment information service claims the mean annual pay for​ full-time male workers over age 25 without a high school diploma is ​$22,300.The annual pay for a random sample of 10 ​full-time male workers over age 25 without a high school diploma is listed. At α=0.10​, test the claim that the mean salary is ​$22,300. Assume the population is normally distributed.

20,651 21,135 22,350 21,396 22,974 16,916 19,150 23,190 24,189 26,286

​(a) Write the claim mathematically and identify Ho and Ha.

​(b) Find the critical​ value(s) and identify the rejection​ region(s).

What​ is(are) the critical​ value(s),t0​?

t 0= _____

​(Use a comma to separate answers as needed. Round to three decimal places as​needed.)

Which of the following graphs best depicts the rejection region for this​ problem?

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

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

Answer 1

Hello

(a) Framing the hypothesis

(b) Critical Values

t₀ = -0.573 , + 0.573

(d) We fail to reject the null hypothesis.

(e) We fail to reject that the mean annual pay is not ​$22,300. Hence, with = 0.1, the mean annual pay is ​$22,300.

I hope this solves your doubt.

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