# Statistics Central Limit Theorem

**Question description**

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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