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8. The presidents of the past century have a mean height of 70.3 inches and a...

8. The presidents of the past century have a mean height of 70.3 inches and a standard deviation of 2.4 inches. William McKinley was 68 inches tall. Calculate the z-score to determine whether Mr. McKinley’s height is considered to be “unusual”. (2 dp)

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Answer #1

Solution :

Given that ,

mean = = 70.3

standard deviation =  = 2.4

x = 68

Using z-score formula,

z = x - /   

z = 68 - 70.3 / 2.4

z = - 0.96

standard score = z = - 0.96

The z score - 0.96 is not unusual because z score is between - 2 and 2

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