Irritable bowel syndrome (IBS) is a nonspecific intestinal disorder characterized by abdominal pain and irregular bowel habits.  Each person in a random sample of 24 patients having periodic attacks of IBS was randomly assigned to one of three treatment groups, A, B, and C.  The number of hours of relief while on therapy is recorded for each patient in the table below.      Treatment     A B C   11.2 11.6 23.1   8.0 12.5 9.9   3.1 10.6 12.1   10.9 11.6 13.0   12.3 13.9 13.3   9.9 8.6 11.0   9.1 18.9 15.2   5.0 19.1 15.9  sample mean 8.6875 13.35 14.1875  sample variance 10.1698 14.4486 16.9270  Give the value of the analysis of variance test statistic used to test H0: μA = μB = μC.   What's the critical value if the .05 significance level is used? What's the p-value? What's the decision using the .05 significance level?

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Irritable bowel syndrome (IBS) is a nonspecific intestinal disorder characterized by abdominal pain and irregular bowel habits.  Each person in a random sample of 24 patients having periodic attacks of IBS was randomly assigned to one of three treatment groups, A, B, and C.  The number of hours of relief while on therapy is recorded for each patient in the table below. 

 

 

Treatment

 

 

A

B

C

 

11.2

11.6

23.1

 

8.0

12.5

9.9

 

3.1

10.6

12.1

 

10.9

11.6

13.0

 

12.3

13.9

13.3

 

9.9

8.6

11.0

 

9.1

18.9

15.2

 

5.0

19.1

15.9

 sample mean

8.6875

13.35

14.1875

 sample variance

10.1698

14.4486

16.9270

 Give the value of the analysis of variance test statistic used to test H0: μA = μB = μC.

 

What's the critical value if the .05 significance level is used?

What's the p-value?

What's the decision using the .05 significance level?

 

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