   Chapter 11, Problem 11P 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

Strode, Martin, and Stepper (1988) reported that people rate cartoons as funnier when bolding a pen in their teeth (which forced them to smile) than when holding a pen in their lips (which forced them to frown). A researcher attempted in replicate this result using a simple of n = 25 adults between the ages of 40 and 45. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained while frowning. On average the cartoons were rated as funnier when the participants were smiling, with an average difference of MD = 1.6 with SS = 150.a. Do the data indicate that the cartoons are rated significantly funnier when the participants are smiling? Use a one-tailed test with α = .01.b. Compute r2 to measure the size of the treatment effect.c. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.

a.

To determine
The significance change in the problem solving ability using one tail test.

Explanation

Given info:

The average of student MD is 1.6, variance SS is 150 and n is 25.

Calculation:

The null hypothesis:

H0:μD=0 (There is no difference between the two tests)

The alternative hypothesis:

H1:μD0 (There is difference between the two tests)

The sample variance:

s2=SSn1

=150251=15024=6.25

The standard deviation of the mean:

sMD=s2n

sMD=6

b.

To determine
The coefficient of the determination.

c.

To determine
The Cohen’s d to measure the size of the effect.

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