SOLUTION: Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. Find the value of the quartile Q3.

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Question 476428: Assume that women have heights that are normally distributed with a mean of 63.6 inches and a
standard deviation of 2.5 inches. Find the value of the quartile Q3.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
We need to find alpha+=+Q%5B3%5D+such that P%28+Z+%3C=+alpha%29+=+0.75
From a table of cumulative standard normal values, we get P%28+Z+%3C=+0.675%29+=+0.75
==> alpha+=+0.675 ==> %28H+-+63.6%29%2F2.5+=+0.675
==> H - 63.6 = 1.6875 ==> H = 65.2875, the 3rd quartile.