Question 1113524: With a height of 69 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 74.8 in and a standard deviation of 1.9 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 -2 and 2, is William's height usual or unusual?
A. The positive difference between William's height and the mean is ?
5.8 in.
B. The difference is__standard deviations?
(Type an integer or decimal rounded to two decimal places as needed.)
c. The z score is___?
(Type an integer or decimal rounded to two decimal places as needed.)
D. Is William's height usual or unusual?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! With a height of 69 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 74.8 in and a standard deviation of 1.9 in.
a.What is the positive difference between William's height and the mean?
74.8-69 = 5.8"
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b.How many standard deviations is that [the difference found in part (a)]?
5.8/1.9 = 3.05
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c.Convert William's height to a z score.
z(69) = (69-74.8)/1.9 = -3.05
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d.If we consider "usual" heights to be those that convert to z scores between -2 and 2, is William's height usual or unusual?
Ans: unusual because -3.05 is outside that range.
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Cheers,
Stan H.
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