A half-century ago, the mean height of women in a particular country in their 20s was 63.8 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a...

A​ half-century ago, the mean height of women in a particular country in their 20s was 63.8 inches. Assume that the heights of​ today's women in their 20s are approximately normally distributed with a standard deviation of 2.51 inches. If the mean height today is the same as that of a​ half-century ago, what percentage of all samples of 28 of​ today's women in their 20s have mean heights of at least 65.08 ​inches?

Extracted text: A half-century ago, the mean height of women in a particular country in their 20s was 63.8 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.51 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 28 of today's women in their 20s have mean heights of at least 65.08 inches? About % of all samples have mean heights of at least 65.08 inches. (Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer. ? All parts showing Clear All Check Answer