Chapter 9: Hypothesis Testing Section 6: Testing Involving Paired Differences (Dependent Samples)

Test Statistic t = is the mean of the d values is the standard deviation of the d values n is the number of data pairs df = n – 1

Example From the given data, can we conclude that the counseling sessions reduce anxiety?

d = B - A Jan 121 76 45 Tom 93 Diane 105 64 41 Barbara 115 117 -2 Mike Patient B Score before counseling A Score after counseling d = B - A Jan 121 76 45 Tom 93 Diane 105 64 41 Barbara 115 117 -2 Mike 130 82 48 Bill 98 80 18 Frank 142 79 63 Carol 118 67 51 Alice 125 89 36