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In: Statistics and Probability

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 0.10 significance level.

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

a. State the null hypothesis and the alternate hypothesis.

H0:   (select one)  The treatment means are not all the same. OR The treatment means are the same.

H1:   (select one)  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.

(select one)  Do not reject OR Reject  H0

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