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refer to the following setting. According to the National

Chapter , Problem R2.1

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QUESTION:

Refer to the following setting. According to the National Center for Health Statistics, the distribution of heights for 15-year-old males is symmetric, single-peaked, and bell-shaped. For this distribution, a z- score of 0 corresponds to a height of 170 centimeters (cm) and a z-score of 1 corresponds to a height of 177.5 cm.

Male heights Consider the height distribution for 15-year-old males.

(a) Find its mean and standard deviation. Show your method clearly.

(b) What height would correspond to a z-score of 2.5? Show your work.

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QUESTION:

Refer to the following setting. According to the National Center for Health Statistics, the distribution of heights for 15-year-old males is symmetric, single-peaked, and bell-shaped. For this distribution, a z- score of 0 corresponds to a height of 170 centimeters (cm) and a z-score of 1 corresponds to a height of 177.5 cm.

Male heights Consider the height distribution for 15-year-old males.

(a) Find its mean and standard deviation. Show your method clearly.

(b) What height would correspond to a z-score of 2.5? Show your work.

ANSWER:

Step 1 of 3

(a)

The mean of the standard normal distribution is 0 . Thus the mean corresponding to the normal height distribution is then the value corresponding to a z-score of 0 :

\(\mu=170 \mathrm{~cm}\)

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