Crossover trial: 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. The results are listed below. Can you conclude that the mean pain level differs with drug B? Let μ1 represent the mean pain level with drug A and  =μd−μ1μ2 . Use the  =α0.05  level and the critical value method with the table.   Subject   1 2 3 4 5 6 7 Drug A 2 7 2 5 5 2 5 Drug B 2 6 7 2 6 7 6   Send data to Excel Step 1 : State the null and alternate hypotheses. The null hypothesis will have the form =:H0μdμ0 . The alternate hypothesis will be of the form <μd>μ0, μd≠μ0, or μdμ0 . Step 2 : Choose a significance level and find the critical value or values. Step 3 : Compute the test statistic =t−dμ0/sdn . Step 4 : Determine whether to reject H0 as follows

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Crossover trial: 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. The results are listed below. Can you conclude that the mean pain level differs with drug B? Let μ1 represent the mean pain level with drug A and 

=μd−μ1μ2

. Use the 

=α0.05

 level and the critical value method with the table.

 

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

 

Send data to Excel
Step
1
:
State the null and alternate hypotheses. The null hypothesis will have the form
=:H0μdμ0
. The alternate hypothesis will be of the form
<μd>μ0, μd≠μ0, or μdμ0
.
Step
2
:
Choose a significance level and find the critical value or values.
Step
3
:
Compute the test statistic
=t−dμ0/sdn
.
Step
4
:
Determine whether to reject
H0
as follows
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