STAT. FOR BEHAVIORAL SCIENCES WEBASSIGN
STAT. FOR BEHAVIORAL SCIENCES WEBASSIGN
3rd Edition
ISBN: 9781544317823
Author: PRIVITERA
Publisher: Sage Publications
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Chapter 10, Problem 18CAP

1.

To determine

Find the value of the test statistic for a related-samples t test.

1.

Expert Solution
Check Mark

Answer to Problem 18CAP

The value of the test statistic for a related-samples t test is 2.

Explanation of Solution

Calculation:

The given information is that, nD=16,MD=4,sD=8 and consider μD=0.

Test statistic of related sample t test:

The formula for the test statistic of related sample t test is,

tobt=MDμDSMD=MDμDsDnD

In formula, MD denotes the sample mean difference score, μD denotes the population mean difference and SMD=sDnD is the standard error for difference scores, sD is the standard deviation for difference score and nD is the sample size for difference scores.

Substitute values of, nD=16,MD=4,sD=8 and μD=0 in test statistic formula.

tobt=40(816)=4(84)=42=2

Hence, the value of the test statistic for a related-samples t test is 2.

2.

To determine

Find the value of the test statistic for a related-samples t test.

2.

Expert Solution
Check Mark

Answer to Problem 18CAP

The value of the test statistic for a related-samples t test is 0.5.

Explanation of Solution

Calculation:

The given information is that, MD=4,sMD=8 and consider μD=0.

Substitute values of, MD=4,sMD=8 and μD=0 in test statistic formula.

tobt=408=12=0.5

Hence, the value of the test statistic for a related-samples t test is 0.5.

3.

To determine

Find the value of the test statistic for a related-samples t test.

3.

Expert Solution
Check Mark

Answer to Problem 18CAP

The value of the test statistic for a related-samples t test is 4.

Explanation of Solution

Calculation:

The given information is that, nD=64,MD=8,sD=16 and consider μD=0.

Substitute values of, nD=64,MD=8,sD=16 and μD=0 in test statistic formula.

tobt=80(1664)=8(168)=82=4

Hence, the value of the test statistic for a related-samples t test is 4.

4.

To determine

Find the value of the test statistic for a related-samples t test.

4.

Expert Solution
Check Mark

Answer to Problem 18CAP

The value of the test statistic for a related-samples t test is 0.5.

Explanation of Solution

Calculation:

The given information is that, MD=8,sMD=16 and consider μD=0.

Substitute values of, MD=8,sMD=16 and μD=0 in test statistic formula

tobt=8016=12=0.5

Hence, the value of the test statistic for a related-samples t test is 0.5.

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