Chapter 11.2, Problem 1LC

### Essentials of Statistics for the B...

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

Chapter
Section

### Essentials of Statistics for the B...

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

# For the following data from a repeated-measures study, find the difference scores and compute the sample mean difference, the variance for the difference scores, and the standard error for the sample mean difference.

To determine
The sample mean difference, the variance for the difference score and standard errors for the sample mean difference for the given data.

Explanation

Given info:

The given data are shown below,

 Participants Treatment 1 Treatment 2 A 5 8 B 6 13 C 7 10 D 9 12

Calculation:

The difference and D of the data set is obtained below:

 Participants Treatment 1 Treatment 2 D D2 A 5 8 3 9 B 6 13 7 49 C 7 10 3 9 D 9 12 3 9 TOTAL 16 76

The value of MD is,

MD=DN=164=4

The value of MD is 4

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