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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A distribution has a standard deviation of σ = 10. Find the c-score for each of the following locations in the distribution.

a. Above the mean by 5 points.

b.    Above the mean by 2 points.

c. Below the mean by 20 points.

d. Below the mean by 15 points.

a.

To determine

To find: The z score above the mean by 5 points.

Explanation

Given info:

The population has the mean of μ=0 and standard deviation of σ=10

The x score is mean above five points.

Calculation:

The x score is mean above five points. That is,

x=μ+5=0+5=5

The formula for calculating the z-score is,

z

b.

To determine

To find: The z-score above the mean by 2 points.

c.

To determine

To find: The z-score below the mean by 20 points.

d.

To determine

To find: The z-score below the mean by 15 points.

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