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# Statistics: Hypothesis Testing, ANOVA

The following table is given in an ANOVA test:

Treatment 1 Treatment 2 Treatment 3
9 13 10
7 20 9
11 14 15
9 13 14
12 15
10

The level of significance is 0.05. Answer only the following three parts.

a. How many degrees of freedom are there in the numerator?

b. How many degrees of freedom are there in the denominator?

c. What is the decision rule?

B. Complete the following:

The following is sample information. Test the hypothesis at the 0.05 level of significance the treatment means are equal.

Treatment 1 Treatment 2 Treatment 3
9 13 10
7 20 9
11 14 15
9 13 14
12 15
10

a. State the hypothesis.

b. State the decision rule.

c. Calculate the test statistic. Copy and paste your Excel or Megastat.

d. Make a decision.

C. Given the following sample information, test the hypothesis that the treatment means are equal at the 0.05 significance level.

Treatment 1 Treatment 2 Treatment 3
8 3 11
11 12 20
10 11 18
8 12
4

a. Set up the null hypothesis and alternative hypothesis.

b. State the decision rule.

c. Use Excel or Megastat to complete an ANOVA table. Copy the table and paste it here, not as a separate attachment.

d. Accept or reject the null?

#### Solution Summary

Complete, Neat and Step-by-step Solutions are provided in the attached file.

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