Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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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=MD−μDSMD=MD−μDsDnD

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=4−0(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=4−08=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=8−0(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=8−016=12=0.5

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

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Chapter 10, Problem 17CAP
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Chapter 10 Solutions

Statistics for the Behavioral Sciences

Ch. 10.1 - Prob. 1.1LCCh. 10.1 - Prob. 1.2LCCh. 10.1 - Prob. 1.3LCCh. 10.1 - Prob. 1.4LCCh. 10.2 - Prob. 2.1LCCh. 10.2 - Prob. 2.2LCCh. 10.2 - Prob. 2.3LCCh. 10.2 - Prob. 2.4LCCh. 10.3 - Prob. 3.1LCCh. 10.3 - Prob. 3.2LC
Ch. 10.3 - Prob. 3.3LCCh. 10.5 - Prob. 4.1LCCh. 10.5 - Prob. 4.2LCCh. 10.6 - Prob. 5.1LCCh. 10.6 - Prob. 5.2LCCh. 10.6 - Prob. 5.3LCCh. 10.6 - Prob. 5.4LCCh. 10 - Prob. 1FPCh. 10 - Prob. 2FPCh. 10 - Prob. 3FPCh. 10 - Prob. 4FPCh. 10 - Prob. 5FPCh. 10 - Prob. 6FPCh. 10 - Prob. 7FPCh. 10 - Prob. 8FPCh. 10 - Prob. 9FPCh. 10 - Prob. 10FPCh. 10 - Prob. 11FPCh. 10 - Prob. 12FPCh. 10 - Prob. 13CAPCh. 10 - Prob. 14CAPCh. 10 - Prob. 15CAPCh. 10 - Prob. 16CAPCh. 10 - Prob. 17CAPCh. 10 - Prob. 18CAPCh. 10 - Prob. 19CAPCh. 10 - Prob. 20CAPCh. 10 - Prob. 21CAPCh. 10 - Prob. 22CAPCh. 10 - Prob. 23CAPCh. 10 - Prob. 24CAPCh. 10 - Prob. 25CAPCh. 10 - Prob. 26CAPCh. 10 - Prob. 27PRCh. 10 - Prob. 28PRCh. 10 - Prob. 29PRCh. 10 - Prob. 30PRCh. 10 - Prob. 31PRCh. 10 - Prob. 32PR
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