Chapter 10, Problem 24P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Research has shown that people are more likely to show dishonest and self-interested behaviors in darkness than in a well-lit environment (Zhong, Bohns, & Gina, 2010). In one experiment, participants were given a set of 20 puzzles and were paid $0.50 for each one solved in a 5-minute period. However, the participants reported their own performance and there was no obvious method for checking their honesty. Thus, the task provided a clear opportunity to cheat and receive undeserved money. One group of participants was tested in a room with dimmed lighting and a second group was tested in a well-lit room. The reported number of solved puzzles was recorded for each individual. The following data represent results similar to those obtained in the study.

a. Is there a significant difference in reported performance between the two conditions? Use a two-tailed test with

b. Compute Cohen's *d* to estimate the size of the treatment effect.

**a.**

To determine

**To check:** Whether there is significant difference in reported performance between the two conditions using two-tailed test with

Explanation

**Given info:**

Two samples each of size 9 is given in the question. Two-tailed hypothesis test using

**Calculations:**

Step 1: Null Hypothesis is

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

For a two-tailed test with

Step 3: The *t*-statistics is calculated using formula:

**Software procedure:**

Step-by-step procedure to obtain the sample mean and variance for the two groups, using the SPSS software:

- Go to
**Variable View>**Enter the name of the variable as**Money and Paper.** - Go to
**Data View**>Enter the values of**Money and Paper.** - Choose
**Analyze > Descriptive Statistics>**choose**Descriptive.** - Select
**Money and Paper**and move it under**variable(s)>**Choose**Options>**Select**Mean , Std. Deviation and Variance** - Choose
**Continue**> choose**OK.**

Output using the SPSS software is given below:

From the SPSS output, the value of sample means, and variances are:

Next, calculate pooled variance,

Substitute 5.27 for

**b.**

To determine

**To Find:** The value of Cohen’s d for the given question.

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