An employment information service claims the mean annual salary for full-time male workers over age 25 and without a high school diploma is $26,000. The annual salaries for a random sample of 10 full-time male workers without a high school diploma are listed. At = 0.05, test the claim that the mean salary is $26,000. 26,185 23,814 22,374 25,189 26,318 20,767 30,782 29,541 24,597 28,955

i. Identify the claim. Then state the null and alternative hypotheses.

ii. Identify the level of significance.

iii. Use the the Test Statistic to decide whether to reject the null hypothesis and show your work.

iv. Interpret the decision in the context of the original claim.

v. Construct a 95% confidence interval to decide whether to reject the null hypothesis and show your work.