Question

Given the following sample information, test the hypothesis that the treatment means are equal at the 0.10 significance level:

Treatment 1	Treatment 2	Treatment 3
3	9	6
2	6	3
5	5	5
1	6	5
3	8	5
1	5	4
	4	1
	7	5
	6
	4

a. State the null hypothesis and the alternative hypothesis.

H₀ : μ₁  (Click to select)  =  >  <  μ₂    (Click to select)  =  >  <  μ₃

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

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

Reject H₀ if F >                 .

c. Compute SST, SSE, and SS total. (Round the final answers to 2 decimal places.)

SST =                

SSE =                

SS total =                  

d. Complete the ANOVA table. (Round the SS, MS, and F values to 2 decimal places.)

	Source	SS	DF	MS	F
	Factor
	Error
	Total

e. State your decision regarding the null hypothesis.

Decision:  (Click to select)  Reject  Do not reject  H_0.

f.Find the 95% confidence interval for the difference between treatment 2 and 3. (Round the final answers to 2 decimal places.)

95% confidence interval is:    ±     

We can conclude that the treatments 2 and 3 are  (Click to select)  different  the same   .

Answer 1