Question

# The following is sample information. Test the hypothesis that the treatment means are equal. Use the...

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 3 10 4 8 6 6 3 9 3 5 7 10

a. State the null hypothesis and the alternate hypothesis.

H0:                (Click to select)  The treatment means are not all the same.  The treatment means are the same.

H1:                (Click to select)  The treatment means are the same.  The treatment means are not all 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.

(Click to select)  Reject  Do not reject  H0.

a)

Ho: The treatment means are the same.

Ha: The treatment means are not all the same.

b)

 Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array):

Reject H0 if the test statistic is greater than   6.23

c)

SST =22.167

SSE =55.500

SSTotal =77.667

d)

 Source SS df MS F treatment 22.167 2 11.083 1.797 error 55.500 9 6.167 Total 77.667 11

e)

since test statistic <critical value

Do not reject  H0.