Irritable bowel syndrome (IBS) is a nonspecific intestinal disorder characterize
ID: 3434200 • Letter: I
Question
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
4.7
19.5
22.6
14.8
11.2
16.7
5.1
19.4
12.4
11.9
7.8
16.4
11
11.6
17.2
5.7
9.6
13
15.5
13
14
11.2
13.6
26.1
mean
9.988
13.213
17.300
variance
18.561
18.144
22.871
Give the value of the test statistic used to test H0: ?A = ?B = ?C.
a.
3.19
b.
2.45
c.
7.51
d.
15.18
e.
5.41
Find the critical value appropriate for comparison with the test statistic in #1 if the .10 significance level is used.
a.
-1.96, 1.96
b.
3.47
c.
2.57
d.
5.78
e.
4.42
Which of the following correctly characterizes the p-value for the test statistic in #1?
a.
p-value < .01
b.
.01 < p-value < .025
c.
.025 < p-value < .05
d.
.05 < p-value < .10
e.
p-value > .10
What is the correct decision (at the .10 significance level) regarding the analysis of variance?
a.
Reject H0
b.
Do not reject H0
c.
Reject HA
d.
Do not reject HA
e.
Lake Titicaca
Treatment
A
B
C
4.7
19.5
22.6
14.8
11.2
16.7
5.1
19.4
12.4
11.9
7.8
16.4
11
11.6
17.2
5.7
9.6
13
15.5
13
14
11.2
13.6
26.1
mean
9.988
13.213
17.300
variance
18.561
18.144
22.871
Explanation / Answer
Give the value of the test statistic used to test H0: ?A = ?B = ?C.
Answer: e. 5.41
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Find the critical value appropriate for comparison with the test statistic in #1 if the .10 significance level is used.
Given a=0.1, the critical value is F(0.9, df1=2, df2=21) =2.57 (from F table)
Answer: C.2.57
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Which of the following correctly characterizes the p-value for the test statistic in #1?
Answer: b. .01 < p-value < .025
-----------------------------------------------------------------------------------------------------------
What is the correct decision (at the .10 significance level) regarding the analysis of variance?
Answer: b. Do not reject H0
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ANOVA table Source SS df MS F p-value Treatment 214.883 2 107.4413 5.41 .0127 Error 417.038 21 19.8589 Total 631.920 23Related Questions
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