The following data are given for a two-factor ANOVA with two treatments and three blocks.
Treatment | ||
Block | 1 | 2 |
A | 42 | 32 |
B | 33 | 20 |
C | 48 | 39 |
Using the 0.05 significance level conduct a test of hypothesis
to determine whether the block or the treatment means
differ.
State the null and alternate hypotheses for treatments.
H0 options:
H1 options:
State the decision rule for treatments. (Round your answer to 1 decimal place.)
Reject or Do not reject H0 if the test statistic is greater than ____.
State the null and alternate hypotheses for blocks. (Round your answer to 1 decimal place.)
H0 options:
H1 options:
Also, state the decision rule for blocks.
Reject or Do not reject H0 if the test statistic is greater than ____.
d & e. Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round your SS, MS values to 3 decimal places and F value to 2 decimal places.)
Source | SS | df | MS | F |
Treatments | ||||
Blocks | ||||
Error | ||||
Total |
Give your decision regarding the two sets of hypotheses.
Decision: Treatments | Reject or Do not Reject H0 |
Decision: Blocks | Reject or Do not Reject H0 |
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