A particular group of men have heights with a mean of 176 cm and a standard devi

Question

A particular group of men have heights with a mean of 176 cm and a standard deviation of 7 cm. Carl had a height of 187 cm. What is the positive difference between Carl's height and the mean? How many standard deviations is that [the difference found in part (a)]? Convert Carl's height to a z score. If we consider "usual" heights to be those that convert to z scores between - 2 and 2, is Carl's height usual or unusual? The positive difference between Carl's height and the mean is cm. The difference is standard deviations. (Type an integer or decimal rounded to two decimal places as needed.) The z score is. (Type an integer or decimal rounded to two decimal places as needed.) Is Carl's height usual or unusual? Unusual Usual

Explanation / Answer

a) the difference = 187-176

= 11

b)the standard deviation = 11/7 = 1.57

c) z score = (x-mean)/standard deviation

x= 187

mean=176

standard dev =7

therefore z score = (187-176)/7=1.57

d) as the z score of carl is between -2 and 2 therefore the height

is usual.

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