Question

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 4 inches. If a random sample of twenty-eight 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches?

Answer #1

**Solution:-**

**Given data:**

Mean, = 71 inches

Standard deviation, = 4 inches

Number of random samples, n = 28

**Here we have to calculate
the probability that the mean height x is between 70 and 72
inches.**

**i.e, required probability is
**

**.**

** Hence, the
probability that the mean height x is between 70 and 72 inches is
0.8132.**

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________________
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selected, what is the probability that the mean height x
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