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Essentials of Statistics for the B...

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

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BuyFindarrow_forward

Essentials of Statistics for the B...

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

For a sample with a mean of M = 40 and a standard deviation of s = 12, find the z-score corresponding to each of the following X values.

X = 43

X = 58

X = 49

X = 34

X = 28

X = 16

To determine

To find: The z-score corresponding to X.

Explanation

Given Info:

The sample has mean M=40 and standard deviation s=12.

Calculation:

z-score: It is used to transform any distribution in to standardized distribution with a predetermined mean and a predetermined standard deviation.

The z-score corresponding to X=43 can be obtained as follows:

The formula for calculating z-score is,

z=XMs

Substitute M=40, s=12. and X=43

z=XMs=434012=0.25

The z-score corresponding to X=58 is,

z=XMs=584012=1.50

The z-score corresponding to X=49 is,

z=XMs=494012=0

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