A half-century ago, the mean height of women in a particular country in their 20s was 63.1 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.13 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 29 of today's women in their 20s have mean heights of at least 64.28 inches? About % of all samples have mean heights of at least 64.28 inches. (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A half-century ago, the mean height of women in a particular country in their 20s was 63.1 inches. Assume that the heights of today's women in their 20s are approximately normally distributed
with a standard deviation of 2.13 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 29 of today's women in their 20s have mean heights
of at least 64.28 inches?
About % of all samples have mean heights of at least 64.28 inches.
(Round to one decimal place as needed.)
Transcribed Image Text:A half-century ago, the mean height of women in a particular country in their 20s was 63.1 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 2.13 inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of 29 of today's women in their 20s have mean heights of at least 64.28 inches? About % of all samples have mean heights of at least 64.28 inches. (Round to one decimal place as needed.)
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