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Essentials of Statistics for the B...

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

Solutions

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BuyFindarrow_forward

Essentials of Statistics for the B...

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

In a population with a mean of μ = 50 and a standard deviation of σ = 10, would a score of X = 58 be considered an extreme value (far out in the tail of the distribution)? What if the standard deviation were σ = 3?

To determine

To Find: Whether the score of X equal 58 would be considered an extreme value when the standard deviation is σ=3.

Explanation

Given info:

The population has a mean of μ=50 and standard deviation of σ=10.

The score is X=58.

Calculation:

The formula for one standard deviation below and above the mean is,

μσμ+σ

The formula for two standard deviations below and above the mean is,

μ2σμ+2σ

Substitute the value for μ=50 and σ=10 for in one standard deviation below or above the mean is as follows:

μσ=

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