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=0.01​, test the claim that the mean salary is ​$22,300. Assume the population is normally distributed.   20,655 21,137 22,354 21,395 22,970 16,912 19,155 23,193 24,188 26,290   ​   ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   What​ is(are) the critical​ value(s), t0​?     t0= ​(Use a comma to separate answers as needed. Round to three decimal places as​ needed.)     ​(c) Find the standardized test statistic. t= (Round to two decimal places as​ needed.)

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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=0.01​, test the claim that the mean salary is ​$22,300. Assume the population is normally distributed.

 

20,655

21,137

22,354

21,395

22,970

16,912

19,155

23,193

24,188

26,290

 

 

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

 

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

 

 

t0=

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

 

 

​(c) Find the standardized test statistic.

t=

(Round to two decimal places as​ needed.)

Expert Solution
Step 1

The null and alternative hypothesis is given by;

H0: μ=22300Ha: μ22300The level of significance is;α=0.01

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