Chapter 10.3, Problem 1LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

An educational psychologist would like to determine whether access to computers has an effect on grades for high school students. One group of *n* = 16 students has home room each day in a computer classroom in which each student has a computer. A comparison group of *n* = 16 students has home room in a traditional classroom. At the end of the school year, the average grade is recorded for each student. The data are as follows:

a. Is there a significant difference between the two groups? Use a two-tailed test with a = .05.

b. Compute Cohen’s *d* to measure the size of the difference.

c. Write a sentence that demonstrates how the outcome of the hypothesis test and the measure of effect size would appear in a research report.

d. Compute the 90% confidence interval for the population mean difference between a computer classroom and a regular classroom.

**a.**

To determine

**To check:** Whether there is a significant difference between the two groups using two tailed test with

Explanation

**Given info:**

The two samples each of size 16 are used in a study. The mean for the two samples are 86 and 82.5 and sum of squared errors (SS) for two samples are 1005 and 1155 respectively.

**Calculation:**

Step 1:

Step 2: The degree of freedom is calculated as:

From the‘*t*-table’, the critical value is 2.502.

Step 3: The t-statistics is obtained below:

Estimated standard error:

**b.**

To determine

**To compute:** The Cohen’s *d* for the given question.

**c.**

To determine

The outcome of the study the way it would appear in the report.

**d.**

To determine

**To find:** The 90% confidence interval for the population mean difference between the two groups.

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