Question
A half-century ago, the mean height of women in a particular country in their 20s was...
A half-century ago, the mean height of women in a particular country in their 20s was 62.3 inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of 1.79 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 63.26 inches? About % of all samples have mean heights of at least 63.26 inches. (Round to one decimal place as needed.)
Answers
Solution Girent XNN (4, 62) u= 62.3 inches 6=1.79 inches n=28 p(X2 63.26) = ) - PCX < 63.26) = 10 = )-p(7-4. 63.26-62-3 s/n 179/28 El- P(Z < 2.8379) 15 = ) - P(Z < 2.84 ) from table - ) - 0.9977 (peaa = 0.0023 = 0.0023 0.237. 20 About 10.2 % of all samples have mean height of at least 63.26 inches. 25
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