Student Heights

Question

The heights of the population of students at a college are normally distributed with a mean of 68 inches (5 feet 8 inches), a standard deviation of 3 inches, and a sample size of 100 students. Find the 0.5th percentile of sample mean heights.

Answer 1

using z-statistic = (xbar - 68)/(3/sqrt(100) = (xbar - 68)/0.3

0.5th percentile corresponds to z score -2.575

-2.575 = (xbar - 68)/0.3

solve for xbar