BuyFindarrow_forward

Essentials of Statistics for the B...

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

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

For a population with a mean of μ = 100 and a standard deviation of σ = 20,

a. Find the z-score for each of the following X values.

X = 108

X = 115

X = 130

X = 90

X = 88

X = 95

b. Find the score (X value) that corresponds to each of the following c-scores.

z=– 0.40

z= –0.50

z= 1.80

z = 0.75

z = 1-50

z = -1.25

(a)

To determine

To find: The z-score corresponding to X.

Explanation

Given info:

The population has mean μ=100 and standard deviation σ=20.

Calculation:

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

The formula for calculating z-score is,

z=Xμσ

Substitute μ=100 and σ=20. in the above equation.

The z-score corresponding to X=108 is,

z=Xμσ=10810020=0.4

The z-score corresponding to X=115 is,

z=Xμσ=11510020=0.75

The z-score corresponding to X=130 is,

z=XMs=13010020=1

(b)

To determine

To Find: The X value corresponding to z-scores.

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

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

SPENDING on Equipment and Software As the United States continues to recover slowly from the Great Recession, s...

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

Change each decimal number to binary form: 407

Elementary Technical Mathematics

True or False:

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

Define the concept of internal validity and a threat to internal validity.

Research Methods for the Behavioral Sciences (MindTap Course List)

Explain how the mean and the standard deviation describe a distribution of scores.

Research Methods for the Behavioral Sciences (MindTap Course List)