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
2	4	8	2
2	6	9	3
4	6	12	4
4	5	12
		12

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


(b) Find the p-value. (Give your answer bounds exactly.)
< p <

Answer 1

SUMMARY Groups Count Sum Average Variance 12 12 12 12 21 53 1.3 0.9 3.8 5.25 10.6 ANOVA MS P-value Fcrit Between Groups 170.99356.996 28.56 0.000010 3.490 Source of VariationSS 10 Within Groups 23.95 12 1.996 Total 194.9415 12 13 14 15 16 17 18 a) Test Statistics. F 28.56 b) P value is O.0001 0.0000010.01 We reject the null hypothesis