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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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BuyFindarrow_forward

Essentials of Statistics for the B...

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:

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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 α=0.05.

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: H0: There is no significant difference between the groups.

            H1: Significant differences between the groups exist.

Step 2: The degree of freedom is calculated as:

df=n1+n22=16+162=30

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

Step 3: The t-statistics is obtained below:

 Estimated standard error:

sM1M2=sp2n1sp2n2=7216+72

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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