Question

*MiniTab Is Required for this question** Suppose that a precise measuring device for new hair growth has been developed and is used in the experiment described in exercise 1922. The percentages of new hair growth for the 30 pairs of men involved in the experiment were recorded. Do these data allow the chemist to conclude that drug B is more effective?

Drug A   Drug B
3.5   7.1
2.4   6.6
4.2   4.2
1.1   1.0
2.9   2.7
2.8   4.1
5.6   8.3
4.8   8.8
0.8   0.8
3.6   3.4
2.0   1.8
5.6   6.9
4.3   6.8
7.1   7.9
3.8   6.2
3.6   3.5
4.2   7.3
2.8   2.7
6.1   9.5
3.7   6.2
4.0   6.7
3.5   6.8
3.1   3.0
6.0   9.0
5.3   8.4
2.6   4.1
4.8   4.8
2.2   1.8
4.2   5.6
0.8   2.2

Answer 1

From the given data

Drug_A	Drug_B	Difference
3.5	7.1	-3.6
2.4	6.6	-4.2
4.2	4.2	0
1.1	1	0.1
2.9	2.7	0.2
2.8	4.1	-1.3
5.6	8.3	-2.7
4.8	8.8	-4
0.8	0.8	0
3.6	3.4	0.2
2	1.8	0.2
5.6	6.9	-1.3
4.3	6.8	-2.5
7.1	7.9	-0.8
3.8	6.2	-2.4
3.6	3.5	0.1
4.2	7.3	-3.1
2.8	2.7	0.1
6.1	9.5	-3.4
3.7	6.2	-2.5
4	6.7	-2.7
3.5	6.8	-3.3
3.1	3	0.1
6	9	-3
5.3	8.4	-3.1
2.6	4.1	-1.5
4.8	4.8	0
2.2	1.8	0.4
4.2	5.6	-1.4
0.8	2.2	-1.4

(1) Null and Alternative Hypothesis:

H0: The chemist to conclude that drug B is not more effective

H1: The chemist to conclude that drug B is more effective

i.e.

Thus we conclude that  the chemist to conclude that drug B is more effective

MINITAB Output: