Question

**THIS ASSIGNMENT MUST BE COMPLETED IN MINITAB**

Large Potential profits for pharmaceutical companies exist in the area of hair growth drugs. The head chemist for a large pharmaceutical company is conducting experiments to determine which of two new drugs is more effective in growing hair among balding men. One experiment was conducted as follows. A total of 30 pairs of men- each part of which was matched according to their degree of baldness-- was selected. One man used Drug A, and the other used Drug B. After 10 weeks, the men's new hair growth was examined, and the new growth was judged using the following ratings:

0= No Growth

1= Some Growth

2- Moderate Growth

Do these data provide sufficient evidence that drug B is more effective?

Drug A   Drug B
1   2
0   2
1   1
0   0
1   0
0   1
1   2
1   2
0   0
1   1
0   0
1   2
1   2
2   2
1   2
1   1
1   2
2   2
1   2
1   2
1   2
1   2
1   1
1   2
1   2
1   2
1   1
1   0
1   2
0   1

**AGAIN, Please do not answer if you do not have minitab* The answer must be in Minitab**

Answer 1

Let us denote the difference

d = Drug A - Drug B

To test against

Using Minitab software, (Stat -> Basic Statistics -> Paired t), we get the following output :

The paired t test output is :

Here,

The value of the test statistic t = -4.57

P-value = 0

Since P-value < 005, so we reject H₀ at 0.05 level of significance and we can conclude that data provide sufficient evidence that drug B is more effective.