Question

A survey found that​ women's heights are normally distributed with mean 62.6 in. and standard deviation 3.9 in. The survey also found that​ men's heights are normally distributed with mean 69.8 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 64 in. Complete parts​ (a) and​ (b) below.

Answer 1

To estimate the mean height of students at the college or university within 1 inch with 93 percent confidence, the number of male students that needs to be measured can be calculated using the formula n = (z * sigma / E)^2.

This question is about estimating the population mean height based on a sample. In order to estimate the mean height of students at the college or university within 1 inch with 93 percent confidence, the number of male students that needs to be measured can be calculated using the formula:

n = (z * sigma / E)^2

where n is the required sample size, z is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and E is the desired margin of error. By substituting the given values in the formula, the required sample size can be determined.