   Chapter 5.3, Problem 3LC 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 distribution of English exam scores has μ = 70 and σ = 4. A distribution of history exam scores has μ = 60 and σ = 20. For which exam would a score of X = 78 have a higher standing? Explain your answer.

To determine

To Find: Which exam would a score of X=78 have a higher standing.

Explanation

Given Info:

The English exam scores has mean of μ=70 and a standard deviation σ=4

The distribution of history exam has a mean of μ=60 and a standard deviation σ=20.

The X-score is 78.

Calculation:

Use the formula of z-score to transform the original raw scores into z-scores as follows:

z=Xμσ

For English Exam:

Substitute the value 78 for X, 70 for μ and 4 for σ

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