Question

The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.01 significance level.

Treatment 1	Treatment 2	Treatment 3
10	7	8
8	8	7
6	8	6
9	4	8

a. State the null hypothesis and the alternate hypothesis.

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

Answer 1

a)

H₀:      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   8.02

c)

SST =4.667

SSE =22.250

SSttoal =26.917

d)

Source	SS	df	MS	F
Treatment	4.667	2	2.333	0.944
Error	22.250	9	2.472
Total	26.917	11

e)

Do not reject  H₀.

(since test statistic <critical value)