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Show Work With a height of 67 in, Vincent was the shortest president of a partic

ID: 3042955 • Letter: S

Question

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With a height of 67 in, Vincent was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 71.8 in and a standard deviation of 2.9 in.

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

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

c. Convert Vincent'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 Vincent's height usual or unusual?

a. The positive difference between Vincent's height and the mean is in.

b. The difference is nothing standard deviations. (Type an integer or decimal rounded to two decimal places as needed.)

c. The z score is nothing. (Type an integer or decimal rounded to two decimal places as needed.)

d. Is Vincent's height usual or unusual?

Explanation / Answer

a) Difference = 71.8-67=4.8

b) Standard deviations away = 4.8/2.9= 1.6551

c) Z score = -1.6551

d) No it is not unusual since it is between -2 and 2