Question 328231: Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level.
Treatment 1
8
11
10
Treatment 2
3
12
11
8
4
Treatment 3
11
20
18
12
a. Set up the null hypothesis and alternative hypothesis.
b. State the decision rule.
c. Use Excel or Megastat to complete an ANOVA table. Copy the table and paste it here, not as a separate attachment.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level.
Treatment 1
8
11
10
Treatment 2
3
12
11
8
4
Treatment 3
11
20
18
12
a. Set up the null hypothesis and alternative hypothesis.
Ho: the means are all equal
Ha: At least one of the means is not equal
-----------
b. State the decision rule.
df numerator = k-1 = 3-1 = 2
df denominator = N-k = 12-3 = 9
---
F = 4.2565
c. Use Excel or Megastat to complete an ANOVA table. Copy the table and paste it here, not as a separate attachment.
test stat: F = 4.6901
p-value = 0.0402
Factor
df = 2
SS = 134.05
MS = 67.025
---
Error:
df = 9
SS = 128.62
MS = 14.29
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Cheers,
Stan H.
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