Question

The height of NBA basketball players are approximately normally distributed with a mean of 78.36 inches...

The height of NBA basketball players are approximately normally distributed with a mean of 78.36 inches and a standard deviation of 4.27 inches a) determine the height of an NBA player at the 60th percentile. b) determine the height of an NBA player at the 10th percentile and c) determine the range of heights that represent the middle 95% of all heights for NBA basketball players.

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Answer #1

Given and

a) Z-score of 60 th percentile is

b) Z-score of 10 th percentile is

c) Middle 95% values lie between 2.5th percentile and 97.5th percentile

Z-score of 2.5th percentile is

and Z-score of 97.5th percentile is

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