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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

A sample has a mean of M = 30 and a standard deviation of s = 8. Find the s-score for each of the following X values from this sample.

X = 32 X = 34 X = 36
X = 28 X = 20 X = 18

To determine

To find: The z score corresponding to X.

Explanation

Given Info:

The data represents the mean and standard deviation for sample. The sample mean μ=30 and sample standard deviation s=8.

Calculation:

The general formula for z score is,

z=Xμs

The z score corresponding to X=32 is,

z=Xμs=32308=28=0.25

Thus, the z score corresponding to X=32 is, 0.25.

The z score corresponding to X=34 is,

z=Xμs=34308=48=0.5

Thus, the z score corresponding to X=34 is, 0.5.

The z score corresponding to X=36 is,

z=Xμs=36308=68=0.75

Thus, the corresponding to X=36 is, 0

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