Question

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

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.

Homework Answers

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)

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