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
7	2	5
8	3	7
6	5	10
7	3	6

a. State the null hypothesis and the alternate hypothesis.

H₀:                (The treatment means are not all the same or The treatment means are 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.

(Do not reject or Reject?)  H₀.

Answer 1

Using Excel<data<data analysis< one-way ANOVA test

a)

H0: Null hypothesis: The treatment means are the same

H1: Alternate hypothesis: The treatment means are not all the same

b) Reject H0 if the test statistic is greater than 6.23.

c)

SST	37.500
SSE	20.750
SS Total	58.250

d)

ANOVA table
Source	SS	df	MS	F
Treatment	37.500	2	18.750	8.133
Error	20.750	9	2.306
Total	58.250	11

e) Reject H0 [Because p-value less than alpha]