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. What is the decision rule? (Round to 2 decimal places)

Reject H₀ if the test statistic is greater than _______.

b. Compute SST, SSE, and SS Total. (Round to 3 decimal places)

c. Complete the ANOVA table. (Round SS, MS, and F values to 3 decimal places)

Answer 1

Solution-

a) Decision rule-

Reject Ho is the test statistic is greater than 6.23

Reject Ho if F > Fc  

Fc = 6.23

b)

SST = 1.167

SSE = 58.500

SS TOTAL = 59.667

c) ANOVA Table -

S.V	S.S	df	M.S	F
Treatment	1.167	2	0.583	0.090
Error	58.500	9	6.500
Total	59.667	11

◆ Calculations and ANOVA test results-

where, SSbetween = SStreatment

SSwithin =SSerror