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Chapter 6: Q.11 (page 385)

What is the z-score of x=12, if it is two standard deviations to the right of the mean?

Short Answer

Expert verified

The value of the z score will be2

Step by step solution

01

Given Information

By using the z-score it can be measured by how many standard deviations, the value of x will lie below (left) or above (right) the mean of the distribution.

02

Explanation

By using the z-score it can be measured by how many standard deviations (蟽), the value of x will lie below (left) or above (right) the mean (渭) of the distribution. Heretofore, it is shown that the z-score is two standard deviations to the right of the mean for x=12.

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According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66inches and a standard deviation of 2.5inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual.

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