An investigator wants to compare the average time to relief of headache pain und

Question

An investigator wants to compare the average time to relief of headache pain under three distinct medications. Fifteen patients who suffer from chronic headaches are randomly selected for the investigation and randomly assigned to each treatment. The following data reflect times to pain relief (in minutes) after taking the assigned drug. Test whether the mean times to pain relief for each treatment are equal. Use alpha=.05. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.
- please show me a full work?

Drug A

Drug B

Drug C

30

25

15

35

20

20

40

30

25

25

25

20

35

30

20

Drug A

Drug B

Drug C

30

25

15

35

20

20

40

30

25

25

25

20

35

30

20

Explanation / Answer

H0: There is no difference between means of three groups

H1: There is a difference between means of three groups

alpha:5%

2) We use ANOVA one way classification

3) F critical value is 3.86

if F cal>3.86 we reject the H0.

4)Test statistic:

From Excel

F cal=10.16

5) Conclusion:

F cal > F critical value, we reject the H0. Hence claim is significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Drug A 5 165 33 32.5 Drug B 5 130 26 17.5 Drug C 5 100 20 12.5 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 423.3333 2 211.6667 10.16 0.00262 3.885294 Within Groups 250 12 20.83333 Total 673.3333 14

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