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The heights of 18-year-old men are normally distributed, with a mean of 68 inches and a...

The heights of 18-year-old men are normally distributed, with a mean of 68 inches and a standard deviation of 3 inches.  If a random sample of 45 men in this age group is selected, what is the probability that the sample mean is between 66 and 67.6 inches?

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Answer #1

Let X be the height of 18-year old men.

Then,  

We need to find the probability that the sample mean is between 66 and 67.6 inches for a random sample of 45 men.

n=45

That is, we need to find

From standard normal table,

Required Probability= 0.1867

Please upvote my answer if you find it helpful. Thanking you.

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