Question

The following is sample information. Test the hypothesis that the treatment means are equal. Use the 0.10 significance level.

Treatment 1	Treatment 2	Treatment 3
5	10	5
3	8	5
10	10	8
10	6	3

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

Answer 1

using excel >data>data analysis>Anova sinngle Factor

we have

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Treatment 1	4	28	7	12.66667
Treatment 2	4	34	8.5	3.666667
Treatment 3	4	21	5.25	4.25
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Treatment	21.16667	2	10.58333	1.54251	0.265447	4.256495
Error	61.75	9	6.861111
Total	82.91667	11

b. the decision rule is

Reject H0 if the test statistic is greater than 4.26

c. Compute SST, SSE, and SS total.

SST =       21.167

SSE = 61.750   

SS total = 82.917   

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

Source of Variation	SS	df	MS	F
Treatment	21.16667	2	10.583	1.543
Error	61.75	9	6.861
Total	82.917	11