   Chapter 11, Problem 2RE 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

Do you view a chocolate bar as delicious or as fattening? Your attitude may depend on your gender. In a study of American college students, Rozin, Bauer, and Catanese (2003) examined the importance of food as a source of pleasure versus concerns about food associated with weight gain and health. The following results are similar to those obtained in the study. The scores are a measure of concern about the negative aspects of eating. a. Based on these results, is there a significant difference between the attitudes for males and for females? Use a two-tailed test with α = .05.b. Compute r2, the percentage of variance accounted for by the gender difference, to measure effect size for this study.c. Write a sentence demonstrating how the result of the hypothesis test and the measure of effect size would appear in a research report.

a.

To determine

To find: Whetherthere is a significant difference between the attitudes of males and females using two-tailed testat α=0.05.

Explanation

Given info:

Two samples of males and females each with size 9 and 15 have means 33 and 42 respectively. Similarly, both of them have sum of squared difference (SS) equal to 740 and 1240 respectively.

Calculations:

Step 1:

Stating the testing hypotheses:

Null Hypothesis

H0:μ1μ2=0

Alternate Hypothesis

H1:μ1μ20

Step 2: For the given sample, the t-statistics will have degrees of freedom equals:

df=n1+n22=9+152=22

For a two-tailed test with α=0.05 and df=22, the critical value (CV)  is obtained from the t-table as t=±2.074

Step 3: t-statistics is calculated using formula:

t=(M1M2)(μ1μ2)sM1M2

But before that calculate pooled variance, sp2, using formula:

sp2=SS1+SS2df1+df2

Substitute 740for SS1, 1240 for SS2 and 8 for df1 and 14 df2 in the above formula

sp2=740+12408+14=90

Now

b.

To determine

To Find: The value of r2 to measure effect size for the mean difference

c.

To determine

To describe: The outcome of the hypothesis test and the measure of the 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

Find more solutions based on key concepts

Elementary Technical Mathematics

Find the linearization L(x) of the function at n. 4. f(x) = 2x, a = 0

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate .

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

The graph at the right has equation:

Study Guide for Stewart's Multivariable Calculus, 8th 