Question

The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.02 significance level.

Treatment 1 Treatment 2 Treatment 3

10 3 4

4 8 8

3 7 8

8 5 6

a. State the null hypothesis and the alternate hypothesis.

H0: The treatment means are the same OR the treatment means are not all the same ?

H1: 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.

Reject OR Do not reject H0.

Answer 1

a.

H0: The treatment means are the same.

H1: The treatment means are not all the same.

b.

Reject H0 if the test statistic is greater than critical Value.

c.

SST = 1.167

SSE = 58.5

SS total = 59.667

d.

Source SS DF MS F

Treatment 1.167 2 0.583 0.09

Error 58.5 9 6.5

Total 59.667 12

e.

Do not reject H0

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You