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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

A sample has a mean of M = 25 and a standard deviation of s = 5. For this sample, find the X value corresponding to each of the following z-scores.

z = 0.40 z = 1.20 z = 2.00
z = –0.80 z = –0.60 z = –1.40

To determine

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

Explanation

Given Info:

The sample has mean M=25 and standard deviation s=5.

Calculation:

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

The formula for specified value of X is,

X=M+zs

Substitute M=25 and s=5.

The X value corresponding z=0.40 is,

X=M+zs=25+(0.40)5=27

The X value corresponding z=1.20 is,

X=M+zs=25+(1.20)5=31

The X value corresponding z=2.00 is,

X=M+zs=25+(2

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