Question 35 To test whether or not there is a difference between treatments A, B
ID: 3241219 • Letter: Q
Question
Question 35
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below.
Treatment
Observation
A
20
30
25
33
B
22
26
20
28
C
40
30
28
22
The mean square between treatments (MSTR) and mean square within treatments (MSE) respectively are equal to:
Select one:
A. 1.872 , 1.732
B. 5.86 , 3.25
C. 34 , 36
D. 36 , 34
-
Question 36
A goodness of fit test is always conducted as a
Select one:
A. ower-tail test
B. upper-tail test
C. middle test
D. None of these alternatives is correct
Question 37
In response to criticism concerning lost mail, the US. Postal Service initiated new procedures to alleviate this problem. The postmaster general had been assured that this change would reduce losses to below the historic loss rate of 0.3 percent. After the new procedures had been in effect for 2 months, the USPS sponsored an investigation in which a total of 8,000 pieces of mail were mailed from various parts of country. Eighteen of test pieces failed to reach their destination. At a significant level of 0.10, can the postmaster general conclude that the new procedures achieved their goal? The test statistic is
Select one:
A. Z=-1.1448
B. Z=1.1448
C. Z=58.1051
D. Z=-58.1051
Treatment
Observation
A
20
30
25
33
B
22
26
20
28
C
40
30
28
22
Explanation / Answer
35)
applying one way ANOVA on above:
MSTR and MSE are 36, 34
hence D. 36 , 34
36)
B. upper-tail test
37)
here p=0.003 ; n=8000
hence std error =(p(1-p)/n)1/2 =0.0006
phat=18/8000=0.0023
hence test stat z=(phat-p)/std error =-1.15
hence option A Z=-1.1448
Groups Count Sum Average Variance A 4 108 27 32.66667 B 4 96 24 13.33333 C 4 120 30 56 ANOVA Source of Variation SS df MS F Between Groups 72 2 36 1.058824 Within Groups 306 9 34 Total 378 11Related Questions
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