A researcher did a study to determine whether or not there is a difference betwe

Question

A researcher did a study to determine whether or not there is a difference between pain relief given by two different types of drugs (A and B). Eight patients were involved in the study. Each one was given both drugs, one after the other, in random order. There was enough time between the two drugs so that the first one did not affect the second one. The people in the study gave a pain score on a scale of 1 to 10 (10 = highest pain level). (Difference= A-B)

The data is shown below:

The Excel output is shown below.

a. What type of study is this?

d. What is p-value?

f. What is conclusion by using the rejection region method? (You must show your work to get credit.)

g. Are your results in part (f) the same as you got by using the p-value method?

Person Drug A Drug B 1 5 7 2 4 8 3 5 9 4 5 5 5 3 9 6 2 6 7 6 6 8 9 9

Explanation / Answer

Part-a

This is matched paired study and paired sample t-test was used.

Part-b

p-value(two tailed)=0.018983337

as p-value<0.05,we reject the nullhypothesis

Part-f

Critical t(two tail)=2.364624252

Rejection region is calculated t<-2.364624252 or calculated t>2.364624252

As calculated=3.034884893>2.364624252, we reject the null hypothesis

Part-g

Both results are same

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