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 0.02 significance level.

 Treatment 1 Treatment 2 Treatment 3 7 2 5 8 3 7 6 5 10 7 3 6

a. State the null hypothesis and the alternate hypothesis.

H0:                (The treatment means are not all the same or The treatment means are the same?)

H1:                (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.

(Do not reject or Reject?)  H0.

Using Excel<data<data analysis< one-way ANOVA test

a)

H0: Null hypothesis: The treatment means are the same

H1: Alternate hypothesis: The treatment means are not all the same

b) Reject H0 if the test statistic is greater than 6.23.

c)

 SST 37.5 SSE 20.75 SS Total 58.25

d)

 ANOVA table Source SS df MS F Treatment 37.500 2 18.750 8.133 Error 20.750 9 2.306 Total 58.250 11

e) Reject H0 [Because p-value less than alpha]

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