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# ANOVA, Hypothesis Tests and F-Tests

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2. What is the critical F value for a sample of four observations in the numerator and seven in the
denominator? Use a one-tailed test and the .01 significance level.

3. The following hypotheses are given.

A random sample of eight observations from the first population resulted in a standard
deviation of 10. A random sample of six observations from the second population
resulted in a standard deviation of 7. At the .02 significance level, is there a difference
in the variation of the two populations?

4. The following hypotheses are given.

A random sample of five observations from the first population resulted in a standard
deviation of 12. A random sample of seven observations from the second population
showed a standard deviation of 7. At the .01 significance level, is there more variation
in the first population?

8. The following is sample information. Test the hypothesis at the .05 significance level that the
treatment means are equal.

a. State the null hypothesis and the alternate hypotheses.
b. What is the decision rule?
c. Compute SST, SSE, and SS total.
d. Complete an ANOVA table.
e. State your decision regarding the null hypothesis.

24. The following is a partial ANOVA table.

Complete the table and answer the following questions. Use the .05 significance level.
a. How many treatments are there?
b. What is the total sample size?
c. What is the critical value of F?
d. Write out the null and alternate hypotheses.
e. What is your conclusion regarding the null hypothesis?
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#### Solution Summary

A few analytical questions with ANOVA and Hypothesis Tests are solved in this solution

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