SOLUTION: Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.
Treatment 1 Treatment 2 Treatment 3
3 9 6
2 6 3
5
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Question 208457This question is from textbook statistical techniques in business and economics
: Given the following sample information, test the hypothesis that the treatment means are equal at the .05 significance level.
Treatment 1 Treatment 2 Treatment 3
3 9 6
2 6 3
5 5 5
1 6 5
3 8 5
1 5 4
4 1
7 5
6
4
1. State the null hypothesis and the alternate hypothesis.
2. What is the decision rule?
3. Compute SST, SSE, and SS total.
4. Complete an ANOVA table.
5. State your decision regarding the null hypothesis.
6. If H0 is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95 percent level of confidence
This question is from textbook statistical techniques in business and economics
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 .05 significance level.
Treatment 1 Treatment 2 Treatment 3
3 9 6
2 6 3
5 5 5
1 6 5
3 8 5
1 5 4
4 1
7 5
6
4
1. State the null hypothesis and the alternate hypothesis.
Ho: the three means are equal
Ha: at least one of the means is different than the other two
--------------------------------------
Run an ANOVA program to answer the following questions:
2. What is the decision rule?
If the p-value is less than 5% reject Ho.
------------------------------------------------
3. Compute SST, SSE, and SS total.
4. Complete an ANOVA table.
5. State your decision regarding the null hypothesis.
Since the p-value is 0.0683..., do not reject Ho.
----
6. If H0 is rejected, can we conclude that treatment 2 and treatment 3 differ? Use the 95 percent level of confidence
Ho is not rejected.
==============================
Cheers,
Stan H.
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