Question

An experiment was designed to compare the lengths of time that four different drugs provided pain relief after surgery. The results (in hours) follow. Is there enough evidence to reject the null hypothesis that there is no significant difference in the length of pain relief provided by the four drugs at α = .05?

Drug
A	B	C	D
4	5	11	3
5	4	9	3
3	3	12	4
6	5	11
		10

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
< p <
(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence of a difference in the length of pain relief. Reject the null hypothesis, there is significant evidence of a difference in the length of pain relief.     Fail to reject the null hypothesis, there is significant evidence of a difference in the length of pain relief. Fail to reject the null hypothesis, there is not significant evidence of a difference in the length of pain relief.

Answer 1

The statistical software output for this problem is :

Test statistics = 43.52

P-value < 0.01

Reject the null hypothesis, there is significant evidence of a difference in the length of pain relief.