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 α = 0.01, test the claim that the mean salary is $22,300. State null and alternative hypothesis, include graph of distribution indicating the rejection region, determine whether to reject or fail to reject based on a P-value or a critical value, state your conclusion in terms of the claim, and discuss assumptions/limitations related to the hypothesis test.
20,656 21,135 22,352 21,398 22,972 16,914 19,150 23,194 24,189 26,285
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