I need to figure out whether it is left, right, or a two tailed test and the test statistic along with H to the o and H to the a

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 alpha=0.05​, test the claim that the mean salary is ​$22 comma 300. Assume the population is normally distributed. 20, 659-- 21,137-- 22,354--21, 393-- 22,975-- 16, 915-- 19 ,154-- 23 ,195-- 24 ,185-- 26,290

Answer 1

Since the claim that the mean is equal to $23,000 is being tested, this claim is false when the mean is not equal to $23,000, and there is no single direction of interest specified for departures from the original claim we have the following:

1. We will be conducting a two-tailed test.
2. 
   

H_{0}: µ = $23,000

1. 
   

H_{a}: µ ≠ $23,000

1. We will be conducting a t-test since the population variance is unknown.
2. The test statistic is t = -1.488.