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With a height of 67 ​in, William was the shortest president of a particular club in...

With a height of 67 ​in, William was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 70.5 in and a standard deviation of 2.7 in.

a. What is the positive difference between William​'s height and the​ mean?

b. How many standard deviations is that​ [the difference found in part​ (a)]?

c. Convert William​'s height to a z score.

d. If we consider​ "usual" heights to be those that convert to z scores between minus2 and​ 2, is William​'s height usual or​ unusual?

Math   Statistics-And-Probability   
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