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 (in dollars) for a random sample of 10 full-time male workers without a high school diploma are shown in the table. At α = 0.05, test the claim that the mean salary is $26,000.

(a) Identify the claim and state H₀ and H_a,

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

(c) Find the standardized test statistic t,

(d) Decide whether to reject or fail to reject the null hypothesis,

(e) Interpret the decision in the context of the original claim. Assume the population is normally distributed. If convenient, use technology.

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Annual salaries 25,685 23,314 21,874 24,689 25,818 20,267 30,282 29,041 24,097 28,455