With a height of 60 in. Alexander was the shortest president of a particular clu

Question

With a height of 60 in. Alexander was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 65.5 in and a standard deviation of 1.2 in. a. What is the positive difference between Alexander's height and the mean? b. How many standard deviations is that (the difference found in part (a))? c. Covert Alexander'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 Alexander's usual or usual? a. The positive difference between Alexander's height and the mean is in b. The difference is standard deviations. c. The z score is d. Is Alexander's height usual or unusual? Unusual Usual

Explanation / Answer

a) The positive difference of height = 65.5 - 60 = 5.5 inches

b) The difference is 5.5/1.2 = 4.58 standard deviations

c) The z score is -4.58

d) Unusual

(if z score is above 2 or below -2, it can be considered as unusual)

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