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

2. 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

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

4. 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