This Question: 1 pt 6 of 26 (0 complete) This Test: 26 pts possible An employmen

Question

This Question: 1 pt 6 of 26 (0 complete) This Test: 26 pts possible An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is S22,325. The annual pay for a random sample of 10 full-time male workers over age 25 without a high school diploma is listed. At = 0.05, test the claim that the mean salary is $22,325. Assume the population is normally distributed 20,652 21,132 22,354 21,396 22,972 16,910 19,160 23,198 24,190 26,286 (a) Write the claim mathematically and identify Ho and H Which of the following correctly states Ho and Ha? OA. HOP> 22.325 D. Ho: 1222325 B. Ho: -22325 Ha : 22,325 Ha : 22,325 Ha :

Explanation / Answer

(a) Ho : = $ 22,325

Ha : $ 22,325

Option C is correct.

sample size n = 10

sample mean x = $ 21825

sample standard deviation s = $ 2630.462

Here standard error of sample mean se0 = s/sqrt(n) = 2630.462/ sqrt (10) = $ 831.5253

(b) Here dF = 10- 1 = 9 and alpha = 0.05

tcritical = t9,0.05 = +- 2.2622

Graph (a) is correct.

(c) HEre test statistic

t = (x - H)/se0 = (22325 - 21825)/ 831.5253= 0.60

(d) We fail to reject H0 because the test statistic is not under the rejection region. Option B is correct here.

(e) There is not sufficient evidence to reject the claim that the mean salary is not $ 22325. Option A is correct.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.