The Centers for Disease Control & Prevention in Maryland reports that the mean w

Question

The Centers for Disease Control & Prevention in Maryland reports that the mean weight (in pounds) for adult males aged 20 years and over is µ = 195. Assume that this distribution is normal in shape and the standard deviation = 30. Find the z score for a man with a weight of 125 pounds (that is, for X = 125). Round to the nearest tenths place if a fraction. [Note, if your calculated value is not identical to one of the values below, but within plus or minus 0.2 of an answer below, assume it’s a rounding error and select the answer that is closest to your calculated value.

+2.0

-2.0

+2.3

-2.3

the correct z score is a value not listed in alternatives “a” through “d”

Explanation / Answer

z = (x-mean)/Sigma

Z = (125-195)/30 = -70/30=-2.33

Hence, the correct answer is D (-2.3)

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