Question 765159: The following is sample information. Test the hypothesis that the treatment means are equal. Use the .05 significance level.
Treatment 1: 8,6,10,9
Treatment 2: 3,2,4,3
Treatment 3: 3,4,5,4
a. State the null and alternative hypothesis
b. What is the decision rule?
c. Compute the SST,SSE and SS total
d. Compute an ANOVA table
e. State decision regarding null hypothesis
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The following is sample information. Test the hypothesis that the treatment means are equal. Use the .05 significance level.
Treatment 1: 8,6,10,9
Treatment 2: 3,2,4,3
Treatment 3: 3,4,5,4
a. State the null and alternative hypothesis
Ho: The means are all equal
Ha: At least one of the means is different
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b. What is the decision rule?
c. Compute the SST,SSE and SS total
d. Compute an ANOVA table
e. State decision regarding null hypothesis
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I ran an ANOVA program on my TI-84 and got the following:
Test statistic:: F = 21.9412
p-value::: 0.000346
Factor:::
SS:: 62.167
MS:: 31.08
Error:::
SS: 12.75
MS: 1.4167
Sxp = 1.10-2
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Conclusion: Since the p-value is less than 5%, reject
Ho at the 5% significance level.
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Cheers,
Stan H.
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