Assume that the heights of adult caucasian women have a mean of 63.6 inches and a standard deviation of 2.5 inches. if 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. round to four decimal places.

The probability that they have a mean height greater than 63.0 inches will be 0.9918

Explanation

The heights of adult Caucasian women have a mean of 63.6 inches and a standard deviation of 2.5 inches. That means,   and

As 100 women are randomly selected, so the sample size = 100

The formula for finding the z-score is......

So, the z-score of a mean height for 63.0 inches will be......

According to the normal distribution table,  

So,

Thus, the probability that they have a mean height greater than 63.0 inches will be 0.9918

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answer: the answer is e

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