Question 1 options: We are interested in seing if going out on a date (i.e., din

Question

Question 1 options: We are interested in seing if going out on a date (i.e., dinner and movie) increases romantic love for one's partner. On a scale of 1 to 9, average romantic love in the population is 5. We measure romantic love before and after going on a date. Given the following sample of scores, calculate the difference scores, mean difference scores, the standard deviation of the difference scores and estimated standard error for the difference scores:

Before

X1

After

X2

Difference

X2-X1

D-DM

(D-DM)2

n = 5

Mean of the Difference Scores = (d)

Standard deviation of the Difference Scores = (e)

Estimated Standard Error of the Difference Scores = (f)

Before

X1

After

X2

Difference

X2-X1

D-DM

(D-DM)2

7 9     +2      -.20       .04 5 6 +1    -1.20    1.44 4 6     +2    -.20      .04 3 5     +2      -.20      .04 1 5     (a) (b) (c)

Explanation / Answer

1. For (a) = 4

since

Difference = |1-5|= 4

2. For (b)   = 1.8

since

   Mean = (2+1+2+2+4) / 5 = 2.2

   (D-DM) = 4 - 2.2 = 1.8

3. For (c) = 1.82 = 3.24

4. For (d) = 2.2.

   Mean = (2+1+2+2+4) / 5 = 2.2

5. For (e) = 1.0954

since

SD = Sqrt (Variance) = Sqrt ( (0.04 + 1.44 + 0.04 + 0.04 + 3.24)/(5-1)) =sqrt(1.2) = 1.0954

6. For (f) = 0.48989

SE (difference of Scores) = SD / sqrt(n) = 1.0954/sqrt(5) = 0.48989

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