   Chapter 12, Problem 13P 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

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. 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=72∑X2=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.

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