Assuming that the populations corresponding to the samples in Prob. 8 are normal, apply a suitable test for the normal distribution.

Data from Prob. 8

In a clinical experiment, each of 10 patients were given two different sedatives A and B. The following table shows the effect (increase of sleeping time, measured in hours). Using the sign test, find out whether the difference is significant.

A B 1.9 0.8 1.1 0.1 0.1 4.4 5.5 1.6 4.6 3.4 0.7 -1.6 -0.2 -1.2 -0.1 3.4 3.7 0.8 0.0 2.0 2.4 1.3 1.3 0.0 1.0 1.8 0.8 4.6 1.4 Difference 1.2