Question

Suppose two drugs are tested for effectiveness. 10 patients consume drug 1 and measurements are taken. A month later, another set of 10 patients consume drug 2, and measurements are recorded. You need to conclude if there is a difference in average response between the two drugs based on the measurements in the table below. Now, choose the correct test.

Observation	Drug 1	Drug 2
1	0.7	1.9
2	-1.6	0.8
3	-0.2	1.1
4	-1.2	0.1
5	-0.1	-0.1
6	3.4	4.4
7	3.7	5.5
8	0.8	1.6
9	0	4.6
10	2	3.4

Two sample z-test on means

Two sample z-test on variances

Pooled t-test on means

Paired t-test on means

Two sample t-test on means

Two sample t-test on variances

Answer 1

Option 3. Pooled t-test on means.(Answer)

Reason: We cannot do Two sample Z test because the population variances are not known. Further we cannot do paired t-test because the data is on two independent samples. Again, we cannot do test on variances as we are interested in mean here. We can do two t-test on means under the assumption that the sample variances are different, however,here the sample variances are not that differemtand hence we can proceed with Pooled t-test on means.