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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 = 80 and a standard deviation of s = 20, find the X value corresponding to each of the following z-scores.

z = –1.00

z = –0.50

z = –0.20

z= 1 50

z = 0.80

z = 1.40

To determine

To find: The X value corresponding to z-scores.

Explanation

Given Info:

The sample has mean M=80 and standard deviation s=20

Calculation:

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

The X value corresponding z=1.00 can be obtained as follows:

The formula for specified value of X is,

X=M+zs

Substitute M=80, s=20 and z=1.00

X=M+zs=80+(1.00)20=8020=60

The X value corresponding z=0.50 is,

X=M+zs=80+(0.50)20=8010=70

The X value corresponding z=0

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