Suppose that you measure the heights of 20 high school sophomore males. The sample mean is 66.2 inches. Suppose that the heights of the population of all high school sophomore males follow a normal distribution with unknown mean and standard deviation of 4.1 inches.
a. what is a point estimate of the unknown mean height of high school sophomore males?
b. Calculate the margin of error of a 95% confidence interval of the mean.
c. Calculate a 95% confidence interval of the mean.
d. Suppose that you want a 95% confidence interval estimate of the mean with a margin of error of 1. How many students should you sample to achieve this margin of error?