Question

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 then 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. Can you conclude that the main pain level is less with drug B? Use α = 0.05.

Subject	1	2	3	4	5	6	7
Drug A	6	3	4	5	7	1	4
Drug B	5	1	5	5	5	2	2

a. State whether the test is:

i) a two-sample t-test (independent samples)

ii) a matched pairs

iii) a two sample proportion test

b. Write H0 and H1

c. Using Minitab, list the test statistic the p-value your conclusion: reject H0 or do not reject H0. Note: if α is not provided, use a 0.05 significance level

d.   Write a sentence that explains your conclusion in context with the claim. Include the significance level and p-value in this sentence.

e.   Copy and paste the relevant Minitab output into the document. Answers alone are sufficient, you do not need to copy the exercise into the document.

Answer 1

Using minitab<stat<Basic statistics<paired test

Here is the output:

.....................................................................................................................................................................................

a. State whether the test is: Matched pairs

b.

c. Using Minitab, list the test statistic the p-value your conclusion: reject H0 or do not reject H0. Note: if α is not provided, use a 0.05 significance level

Answers: Test statistic=1.37

P value=0.220

Now using t table for getting the critical value

Critical value

Since test statistic lies in the rejection region. Thus, reject H0. There is sufficient evidence to conclude that the mean response differs from two drugs.

d. Write a sentence that explains your conclusion in context with the claim. Include the significance level and p-value in this sentence.

P value=0.220

Since p-value >alpha. We fail to reject H0. There is not sufficient evidence to conclude that the mean response differs between the two drugs.

e)    Copy and paste the relevant Minitab output into the document. Answers alone are sufficient, you do not need to copy the exercise into the document.

Paired T-Test and CI: Drug A, Drug B

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
Drug A	7	4.286	1.976	0.747
Drug B	7	3.571	1.813	0.685

Estimation for Paired Difference

Mean	StDev	SE Mean	95% CI for μ_difference
0.714	1.380	0.522	(-0.562, 1.991)

µ_difference: mean of (Drug A - Drug B)

Test

Null hypothesis	H₀: μ_difference = 0
Alternative hypothesis	H₁: μ_difference ≠ 0

T-Value	P-Value
1.37	0.220

Note: I have attached the Minitab in both image and text format. Use as per your needs.
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