The mean height of women in a country (ages 20-29) is 63.9 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume the standard deviation is =2.59 The probability that the mean height for the sample is greater than 64 inches is ____?

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Use the normal distribution.

Z=(64-63.9)/2.59=0.039 approx., correspond to p=0.5156. This is the probability for heights up to 64 inches. The probability for greater than this is 1-0.5156=0.4844 or 48.4% approx.

However, no adjustment to the SD has been made for the sample size of 60, because the question asks us to assume a SD of 2.59.

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