6.23 A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Twins 1 2 3 4 5 6 7 8 Treatment A 48.3 44.6 49.7 40.5 54.3 55.6 45.8 35.4 Treatment B 43.5 43.8 53.7 43.9 54.4 54.7 45.2 34.4 a. Is there significant evidence that the two treatments differ using an a 5 .05 paired t test. b. Is there significant evidence that the two treatments differ using an a 5 .05 sign test. c. Do your conclusions in parts (a) and (b) agree? d. How do your inferences about the two treatments based on the paired t test and based on the sign test differ?
6.23
A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table.
Twins 1 2 3 4 5 6 7 8
Treatment A 48.3 44.6 49.7 40.5 54.3 55.6 45.8 35.4 Treatment B 43.5 43.8 53.7 43.9 54.4 54.7 45.2 34.4
a. Is there significant evidence that the two treatments differ using an a 5 .05 paired t test.
b. Is there significant evidence that the two treatments differ using an a 5 .05 sign test.
c. Do your conclusions in parts (a) and (b) agree?
d. How do your inferences about the two treatments based on the paired t test and based on the sign test differ?
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