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 |
QUESTion1: Give the value of the analysis of variance test statistic used to test H0: μA = μB = μC.
QUESTION 2
What's the critical value if the .05 significance level is used?
QUESTION 3
What's the p-value?
QUESTION 4
What's the decision using the .05 significance level?
Reject H0 |
||
Don't Reject H0 |
||
Reject HA |
||
Don't Reject HA |
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