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[See Solution] A researcher claims that the average age of people who buy theatre tickets is 40. A sample of 30 is selected and their ages are recorded as shown

Question: A researcher claims that the average age of people who buy theatre tickets is 40. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 5. At α = 0.05 is there enough evidence to reject the researcher’s claim?

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[See Solution] A researcher claims that the average age of people who buy theatre tickets is 40. A sample of 30 is selected and their ages are recorded as shown

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45	38	40	45	35	37	45	43	45	48
44	38	45	44	41	45	50	45	37	39
45	46	35	41	39	41	38	39	39	55

45	38	40	45	35	37	45	43	45	48
44	38	45	44	41	45	50	45	37	39
45	46	35	41	39	41	38	39	39	55

45	38	40	45	35	37	45	43	45	48
44	38	45	44	41	45	50	45	37	39
45	46	35	41	39	41	38	39	39	55