   Chapter 5, Problem 22P 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

For each of the following, identify the exam score that should lead to the better grade. In each case, explain your answer. a. A score of X = 74 on an exam with M = 82 and σ = 8; or a score of X = 40 on an exam with μ = 50 and σ = 20. b. A score of X = 51 on an exam with μ = 45 and σ = 2: or a score of X = 90 on an exam with μ = 70 and σ = 20. c. A score of X - 62 on an exam with μ = 50 and σ = 8; or a score of X = 23 on an exam with μ = 20 and σ = 2.

a.

To determine

To identify: The exam score which leads to better grade.

Explanation

Given Info:

The data represents the two set of exam scores with mean and standard deviation, the score of X=74 has a mean of M=82, a standard deviation σ=8. The score of X=40 has a mean of μ=50, a standard deviation σ=20.

Calculation:

The general formula of z -score is,

z=Xμσ

Case 1:

z-score corresponding to X=74:

Substitute the value 74 for X, 82 for M and 8 for σ.

z=Xμσ=74828=1

(b)

To determine

To find: The exam score which leads to better grade.

c.

To determine

To find: The exam score which leads to better grade.

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