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

There is some evidence that high school students justify cheating in class on the basis of poor teacher skills or low levels of teacher caring (Murdock, Miller, & Kohlhardt, 2004). Students appear to rationalize their illicit behavior based on perceptions of how their teachers view cheating. Poor teachers are thought not to know or care whether students cheat so cheating in their classes is okay. Good teachers, on the other hand, do care and are alert to cheating, so students tend not to cheat in their classes. Following are hypothetical data similar to the actual research results. The scores represent judgments of the acceptability of cheating for the students in each sample.

images

a. Use an ANOVA with α = .05 to determine whether there are significant differences in student judgments depending on how they see their teachers.

b. Calculate η 2 to measure the effect size for this study.

c. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.

a.

To determine
Whether there are significant differences in student judgements depending on how the teachers see their teacher using ANOVA at α=0.05.

Explanation

Given info:

The data with appropriate values are already given in the question.

Poor teacher Average teacher Good teacher

 

N=24G=72X2=393

n=6 n=8 n=10
M=6 M=2 M=2
SS=30 SS=33 SS=42

Calculation:

The null and alternative hypotheses:

Null hypothesis:

H0:μ1=μ2=μ3

That is, all treatments have equal mean.

Alternate hypothesis:

Ha:at least one of the treatments is different.

Degrees of freedom:

It is known that for k number of treatments the degrees of freedom is,

df=k1.

Thus,

dfbetween=k1=31=2

Similarly,

dfwithin=Nk=243=21

Critical value:

For α=0.05 and df=2,21, the critical value is 3.47.

The sum of square due to total is SStotal=X2G2N, where G is total number of observations.

Thus,

SStotal=39372224=177

And

SSwithin=SSinsideeachtreatment=30+33+42=105

It is also known that, SStotal=SSbetween+SSwithin

Hence,

SSbe<

b.

To determine

To Find: The effect size 'η2' for the given question.

c.

To determine

To write: A sentence that demonstrate how a research report would present the results of the hypothesis test and the measure of effect size.

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

In Exercises 11-14, write the expression as the logarithm of a single quantity. 2lna+3lnb

Finite Mathematics for the Managerial, Life, and Social Sciences

Raise the following fractions to higher terms as indicated. 37.

Contemporary Mathematics for Business & Consumers

Finding an Equation of a Line Find an equation of the vertical line with x-intercept at 3.

Calculus: Early Transcendental Functions (MindTap Course List)

Multiply. (x+y)2

Trigonometry (MindTap Course List)

Use the guidelines of this section to sketch the curve. y = (4 x2)5

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 2124, factor each expression completely. 23. 16 x2

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

log27 9 =

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