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 asneeded.)

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

t_{0} = -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.

Do give a thumbs up if you find this helpful.

An employment information service claims the mean annual pay for
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$22,300. The annual pay for a random sample of 10 full-time male
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A personnel director in a particular state claims that the mean
annual income is greater in one of the state's counties (county A)
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