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refer to the following setting. According to the National
Chapter , Problem R2.1(choose chapter or problem)
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.
Questions & Answers
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 :
\(\mu=170 \mathrm{~cm}\)