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Essentials of Statistics for the B...

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

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Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

For a population with μ = 40 and a = 11, find the z-score for each of the following X values. (Note: You probably will need to use a formula and a calculator to find these values.)

X = 45

X = 52

X = 41

X = 30

X = 25

X = 38

To determine

To find: The z score corresponding to X values.

Explanation

Given info:

The data represents the mean and standard deviation for population. The population mean μ=40 and population standard deviation σ=11.

Calculation:

The general formula for z score is,

z=Xμσ

The z score corresponding to X=45 is,

z=Xμσ=454011=511=0.45

Thus the z score corresponding to X=45 is, 0.45.

The z score corresponding to X=30 is,

z=Xμσ=304011=1011=0.909

Thus, the z score corresponding to X=30 is, 0.909.

The z score corresponding to X=52 is,

z=Xμσ=524011=1211=1

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