   Chapter 5.3, Problem 4LC 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 = 50 and σ = 12. A distribution of history exam scores has μ = 58 and σ = 4. For which exam would a score of X = 62 have a higher standing? Explain your answer.

To determine

To explain: The exam for which the score X=62 would have a higher standing.

Explanation

Given Info:

The English exam score has a mean of μ=50 and a standard deviation of σ=12.

The distribution of history exam has a mean of μ=58 and a standard deviation σ=4.

The X-score is 62.

Calculation:

The z-score is used to transform any distribution in to standardized distribution with a predetermined mean and a predetermined standard deviation.

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 62 for X, 50 for μ and 12 for σ.

z=Xμσ=625012=1

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Multiply: (0)(4)

Elementary Technical Mathematics

Evaluate the definite integrals in Problems 1-32.

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 29-34, rationalize the denominator of each expression. 30. 1x+5

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Evaluate dx using the Fundamental Theorem of Calculus. a) 7 b) 9 c) d) 18

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 