A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to the other. The responses of the subjects are compared using matched-pair-methods. in an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from 1 to 10, with larger numbers representing higher levels of pain. The results were:Drug A  6  3  4  5  7  1  4Drug B  5  1  5  5  5  2   2can you conclude that the mean pain level is less with drug B?a. State the null and alternate hypothesisb. Compute the test statistic.c. State a conclusion. Use a= 0.05 level of significance.

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Asked Nov 17, 2019
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A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to the other. The responses of the subjects are compared using matched-pair-methods. in an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from 1 to 10, with larger numbers representing higher levels of pain. The results were:

Drug A  6  3  4  5  7  1  4

Drug B  5  1  5  5  5  2   2

can you conclude that the mean pain level is less with drug B?

a. State the null and alternate hypothesis

b. Compute the test statistic.

c. State a conclusion. Use a= 0.05 level of significance.

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Expert Answer

Step 1

The provided table can be tabulated as:

Difference
Drug A
Drug B
(Drug A-Drug B)
6
5
3
1
2
4
5
5
0
7
5
2
2
-1
1
4
2
2
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Difference Drug A Drug B (Drug A-Drug B) 6 5 3 1 2 4 5 5 0 7 5 2 2 -1 1 4 2 2

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Step 2

(a)

The null and alternative hypotheses are:

Н. : п, 3D0
Н,: д, > 0
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Н. : п, 3D0 Н,: д, > 0

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Step 3

Alternative hypothesis suggests that the test is one -tailed.

(b)

The value of t...

t =
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t =

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Hypothesis Testing

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