An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is $22,275. The annual pay for a random sample of 10 full-time male workers over age 25 without a high school diploma is listed. At a = 0.05, test the claim that the mean salary is $22,275. Assume the population is normally distributed. 20,654 21,140 22,358 21,392 22,975 16,910 19,156 23,190 24,189 26,287
An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is $22,275. The annual pay for a random sample of 10 full-time male workers over age 25 without a high school diploma is listed. At a = 0.05, test the claim that the mean salary is $22,275. Assume the population is normally distributed. 20,654 21,140 22,358 21,392 22,975 16,910 19,156 23,190 24,189 26,287
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Find the standardized test statistic
Decide whether to reject or fail to reject the null hypothesis and why.
Interpret the decision in the context of the original claim.
Transcribed Image Text:An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is $22,275. The annual pay for a random sample of 10 full-time male workers over
age 25 without a high school diploma is listed. At a = 0.05, test the claim that the mean salary is $22,275. Assume the population is normally distributed.
20,654
21,140
22,358
21,392
22,975
16,910
19,156
23,190
24,189
26,287
(a) Write the claim mathematically and identify Ho and Ha-
Which of the following correctly states Ho and H?
OC. Ho: H= 22,275
Hiµ<22,275
O A. Ho: H2 22,275
O B. Ho: H= 22,275
Ha: H<22,275
Hgi H#22,275
O D. Ho: H= 22,275
Ha:H> 22,275
O E. Ho: H#22,275
Ha:=22,275
OF. Ho: u> 22,275
Ha: us22,275
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), tn?
to-D
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
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