The height when all adult American women shortest 5%.
The height of the shortest 5% of all American women should be under 59.2 in.
Given information:
The distribution of heights of American women is approximately Normal, with a mean of 63.8 in. and a standard deviation of 2.8 in.
Concept Used:
A z-score measures distance from the mean in standard deviation units. If a random variable X has mean
Calculation:
Let X be the height of American women with a mean of 63.8 and a standard deviation of 2.8.
The shortage 5% corresponds to
Use the z-distribution table to find the z-score corresponding to 0.05 or closest to 0.05.
Get the average of the two z-scores.
Substitute all these value in the formula
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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