An employment information service claims the mean annual salary for full-time female workers over age 25 and without a high school diploma is more than $18,500. The annual salaries (in dollars) for a random sample of 12 full-time female workers without a high school diploma are shown in the table at the left. At α = 0.10, is there enough evidence to support the claim that the mean salary is more than $18,500?

(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 19.665 17,312 19,794 20,403 21,864 20,177 18,328 22,445 21,354 20,143 19,316 20,237