With a height of 68 in, Johnson was the shortest president of a particular club

Question

With a height of 68 in, Johnson was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 69.2 in and a standard deviation of 1.8 in. a. What is the positive difference between Johnson's height and the mean? b. How many standard deviations is that [the difference found in part (a)]? c. Convert Johnson'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 Johnson's height usual or unusual? a. The positive difference between Johnson's height and the mean isin b. The difference is standard deviations Type an integer or decimal rounded to two decimal places as needed.) places as needed) c. The z score is Type an integer or decimal rounded to two decimal places as needed.) d. Is Johnson's height usual or unusual? O Unusual O Usual

Explanation / Answer

a) Positive difference = 69.2-68 = 1.2

b) no of Standard deviations = 1.2/1.8 = -0.67

c) Z score is -0.67

d) No, this is not unsual

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