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Subject Post-Test Score Pre-Test Score Differences? 1 18 15 2 44 42 3 25 22 4 36

ID: 3154021 • Letter: S

Question

Subject     Post-Test Score     Pre-Test Score Differences?

1                  18                         15

2                  44                         42

3                  25                         22

4                  36                         34

5                  47                         47

6                  46                         45

7                  44                         40

8                  43                         33

9                  34                         28

10                33                         28

What is the standard deviation of the difference in scores?

Question 31 options:

4.69

2.875

2.722

10

4.69

2.875

2.722

10

Explanation / Answer

sample standard deviation=sqrt(sample variance)=sqrt(8.2667)=2.8751

therefore answer is second choice=2.875

Post-test score Pre-test score differences=d d-d-=3.6 (d-d-)2 18 15 3 -0.6 0.36 44 42 2 -1.6 2.56 25 22 3 -0.6 0.36 36 34 2 -1.6 2.56 47 47 0 -3.6 12.96 46 45 1 -2.6 6.76 44 40 4 0.4 0.16 43 33 10 6.4 40.96 34 28 6 2.4 5.76 33 28 5 1.4 1.96 sum= 370 334 36 0 74.4 sample variance=sum(d-d-)/(n-1)=74.4/9= 8.266666667