Essentials

Putting It Into Practice1. As the correlation between two sets of scores becomes more positive, the RM ttest comparing the means of the two sets gets larger. Reproduced below are thedata from the second “Putting It Into Practice” problem in the previous chapter.Participant No. No Imagery Imagery1 8 142 11 153 7 54 10 165 9 96 15 167 7 88 16 20(a) Calculate Pearson’s r between the Imagery and No Imagery conditions. Isthe correlation statistically significant at the level?(b) The RM t value can be calculated in terms of the Pearson’s r between thetwo sets of scores and the means and SDs of the two sets by using thefollowing formula:X 1 X 2t s2 1s 2 2N 2 r s s 1 2NUsing this formula, calculate the RM t for the imagery data and compare itto the RM t you found for the same data in the previous chapter.(c) Can the correlation be statistically significant if the RM t test is not (andvice versa)? Explain.2. Students who have taken courses in both areas are asked to rate on a 10-pointscale how much they like math and how much they like statistics. The ratingsfor 10 random students appear below.Student No. Math Statistics1 7 52 8 43 2 04 9 35 3 16 5 67 6 78 0 19 4 310 8 2