In: Statistics and Probability
The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.10 significance level.
Treatment 1 | Treatment 2 | Treatment 3 |
5 | 10 | 5 |
3 | 8 | 5 |
10 | 10 | 8 |
10 | 6 | 3 |
a. State the null hypothesis and the alternate hypothesis.
H0: (select one) The treatment means are not all the same. OR The treatment means are the same.
H1: (select one) The treatment means are not all the same. OR The treatment means are the same.
b. What is the decision rule? (Round the final answer to 2 decimal places.)
Reject H0 if the test statistic is greater than ____ .
c. Compute SST, SSE, and SS total. (Round the final answers to 3 decimal places.)
SST =
SSE =
SS total =
d. Complete the ANOVA table. (Round the SS, MS, and F values to 3 decimal places.)
Source | SS | DF | MS | F |
Treatment | ||||
Error | ||||
Total | ||||
e. State your decision regarding the null hypothesis.
(select one) Do not reject OR Reject H0
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