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Statement of a problem № m40646

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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 Ha, (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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