   Chapter 5.4, Problem 1LC 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 of scores has μ = 73 and σ = 8. If the distribution is standardized to create a new distribution with μ = 100 and σ = 20, what are the new values for each of the following scores from the original distribution?a. X = 65    b. X = 71    c. X = 81    d. X = 83

(a)

To determine

To find: The new values for X=65 from the original population.

Explanation

Given Info:

The population has a mean of μ=73 and a standard deviation σ=8, score of X=65.

The new distribution has a mean of μ=100 and a standard deviation σ=20.

Calculation:

The z-score is used to transform any distribution in to a standardized distribution with a predetermined mean and a predetermined standard deviation. The advantage of the X scores transformed to z-score tells that the entire population of scores is transformed into z-scores

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

z=Xμσ (1)

The formula of specified value of X is,

X=μ+zσ (2)

Substitute the value 65 for X, 73 for μ and 8 for σ

(b)

To determine

To find: The new values for X=71 from the original population.

(c)

To determine

To find: The new values for score X=81 from the original population.

(d)

To determine

To find: The new values for score X=83 from the original population.

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

Convert the expressions in Exercises 6584 to power form. 23x1.2x2.13

Finite Mathematics and Applied Calculus (MindTap Course List)

(x3y2z2)2

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

True or False: If converges absolutely, then it converges conditionally.

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

For , f′(x) =

Study Guide for Stewart's Multivariable Calculus, 8th 