****** Please fill in blanks only An experiment was designed to compare the leng

Question

****** Please fill in blanks only

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 = .05?

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

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

Drug A B C D 7 4 12 4 6 4 10 3 4 4 11 2 8 4 12 10

Explanation / Answer

Here we want to compare mean of four groups so one way ANOVA will be used.

Following is the output of one way ANOVA generated by the excel:

(a)

The test statistics F is

F = 44.25

(b)

Degree of freedom of numerator is 3

Degree of freedom of denominator is 12

So p-value of the test is 0.0000

That is

p < 0.0000

Conclusion:

Since p-value is less than 0.05 so we reject the null hypothesis. That is there is 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 = .05.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 4 25 6.25 2.916667 B 4 16 4 0 C 5 55 11 1 D 3 9 3 1 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 163.1875 3 54.39583 44.25424 9.17E-07 3.490295 Within Groups 14.75 12 1.229167 Total 177.9375 15

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