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...

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?