   Chapter 4, Problem 6P Essentials of Statistics for the B...

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

Solutions

Chapter
Section Essentials of Statistics for the B...

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

A population has a mean of µ = 80 and a standard deviation of σ = 20. a. Would a score of X = 70 be considered an extreme value (out in the tail) in this sample? b. If the standard deviation were σ = 5, would a score of X = 70 be considered an extreme value?

a.

To determine

To check: Whether the score of X=70 would be considered an extreme value in the sample.

Explanation

Given info:

The population has a mean of μ=80 and standard deviation of σ=20

The score is X=70.

Calculation:

In a normal distribution with mean μ and standard deviation σ, 68% of all observations lie within one standard deviation about the mean, that is, in the interval (μσ, μ+σ).

Substitute the value for μ=80 and for σ=20

b.

To determine

To check: Whether the score of X=70 would be considered an extreme value in the sample if standard deviation is σ=5.

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