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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= 80 and σ= 10,

a.    Find the z-score for each of the following X values. (Note: You should be able to find these values using the definition of a z-score. You should not need to use a formula or do any serious calculations.)

X = 75

X = 100

X = 60

X = 95

X = 50

X = 85

a.

To determine

To find: The z score corresponding to X.

Explanation

Given info: The population has mean μ=80 and standard deviation σ=10

Calculation:

The formula for z score is,

z=Xμσ

The z score corresponding to X=75 is,

z=Xμσ=758010=0.5

Thus, the value of z is –0.5.

The z score corresponding to X=95 is,

z=Xμσ=958010=1.5

Thus, the value of z is 1.5.

The z score corresponding to X=100 is,

z=Xμσ=1008010=2

Thus, the value of z is 2

b.

To determine

To find: The X score corresponding to z.

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