The heights of young American women,in inches,are Normally distributed with a mean of $\mu$ and a standard deviation of $\sigma$= 2.4.A simple random sample of four young American women is selected and their heights measured.The four heights,in inches,are 63,69,62 and 66.Based on these data,what is a 99% confidence interval for $\mu$?

Question

Quizplus · Accepted Answer

The sample mean is 65.00. For a 99% confidence interval with a sample size of 4, use the t-distribution with 3 degrees of freedom. The critical t-value is approximately 4.032. The margin of error is t * (s/√n) = 4.032 * (2.4/√4) = 3.09.

The Heights of Young American Women,in Inches,are Normally Distributed with a Mean