Question: 10.4 Sampling distribution versus population distribution. During World War II, 12,000 able-bodied male undergraduates at the University of Illinois participated in required physical training. Each

10.4 Sampling distribution versus population distribution. During World War II, 12,000 able-bodied male undergraduates at the University of Illinois participated in required physical training. Each student ran a timed mile. Their times followed the Normal dis tribution with mean 7.11 minutes and standard deviation 0.74 minute. An SRS of 100 of these students has mean time x = 7.15 minutes. A second SRS of size 100 has mean X = 6.97 minutes. After many SRSs, the many values of the sample mean x follow the Normal distribution with mean 7.11 minutes and standard deviation 0.074 minute.

(a) What is the population? What values does the population distribution describe?

What is this distribution?

(b) What values does the sampling distribution of x describe? What is the sampling distribution?

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