statistics central limit theorem

statistics central limit theorem

Consider the following: Your friend wishes to know if men at his college are 72 inches tall, on average. He randomly sampled 10 men on his campus, measured their height, and calculated the sample mean to be 69 inches. He concluded that men at his college do not differ in height from Apex men, because 69 inches is only 1.5 standard deviations less than 72 inches and this is not a statistically significant difference. Evaluate his procedure and conclusion.

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