e following data are from a completely randomized design. [Multiple choice with single answer] Treatment A Treatment B Treatment C 30 40 40 36 38 40 33 38 36 32 42 34 Sample mean 32.75 39.5 37.5 Sample variance 6.25 3.6667 9 At the α = 0.05, test whether the means for the three treatments are equal. (A). Using F table, what is the most possible range of values of the p-value? (a) 0.025
Q3. The following data are from a completely randomized design. [Multiple choice with single answer]
Treatment A |
Treatment B |
Treatment C |
|
---|---|---|---|
30 | 40 | 40 | |
36 | 38 | 40 | |
33 | 38 | 36 | |
32 | 42 | 34 | |
Sample mean |
32.75 | 39.5 | 37.5 |
Sample variance |
6.25 | 3.6667 | 9 |
At the α = 0.05, test whether the means for the three treatments are equal.
(A). Using F table, what is the most possible
(a) 0.025<p-value<0.1
(b) 0.025<p-value<0.05
(c) 0.05<p-value<0.1
(d) 0.01<p-value<0.05
(e) 0.01<p-value<0.025
(f) None of the above
(B). What is the Fisher’s LSD value?
(a) 5.3236
(b) 3.3236
(c) 2.77
(d) 4.0164
(e) 5.3780
(f) None of the above
(C). Is there a significant difference between the means for treatments A and B?
(a) Yes, because 32.75≠39.5
(b) No, because 32.75<39.5
(c) No, because 6.75>LSD
(d) Yes, because -6.75<LSD
(e) Yes, because 6.75<LSD
(f) None of the above
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