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11.1 You are working with an experiment that has a single factor with four groups, and five values in each group. How many degrees of freedom are there in determining: a. the between-group variation? b. the within-group variation? c. the total variation? 11.2 You are working with the same experiment as in problem 11.1. a. If SSB = 60 and SST = 120, what is SSW? b. What is MSB? c. What is MSW? d. What is the value of the test statistic F? 11.3 You are working with the same experiment as in problems 11.1 and 11.2. a. Form the ANOVA summary table and fill in all values in the body of the table. b. At the 0.05 level of significance, what is the upper-tail critical value from the F distribution? c. State the decision rule for testing the null hypothesis that all four groups have equal population means. d. What is your statistical decision? 11.4 You are working with an experiment that has one factor containing six groups with seven values in each. How many degrees of freedom are there in determining: a. the between-group variation? b. the within-group variation? c. the total variation? 11.5 You are conducting an experiment with one factor containing six groups, with five values in each group. For the following ANOVA summary table, fill in all the missing results. Source Degrees of freedom Sum of squares Mean square (variance) F Between groups c - 1 = ? SSB = ? MSB = 80 F = ? Within groups n - c = ? SSW = 560 MSW = ? Total n - 1 = ? SST = ? 11.6 You are working with the same experiment as in problem 11.5. a. At the 0.05 level of significance, state the decision rule for testing the null hypothesis that all six groups have equal population means. b. What is your statistical decision? c. At the 0.05 level of significance, what is the upper-tail critical value from the Studentised range distribution? d. To perform the Tukey-Kramer procedure, what is the critical range? 11.7 You are conducting an experiment with one factor containing five groups, with 10 values in each group. For the ANOVA summary table below, fill in all the missing results. Source Degrees of freedom Sum of squares Mean square (variance) F Between groups c - 1 = ? SSB = ? MSB = 100 F = ? Within groups n - c = ? SSW = 1120 MSW = ? Total n - 1 = ? SST = ?

11.1 You are working with an experiment that has a single factor with four groups, and five values in each group. How many degrees of freedom are there in determining:
a. the between-group variation?
b. the within-group variation?
c. the total variation?
11.2 You are working with the same experiment as in problem 11.1.
a. If SSB = 60 and SST = 120, what is SSW?
b. What is MSB?
c. What is MSW?
d. What is the value of the test statistic F?
11.3 You are working with the same experiment as in problems 11.1 and 11.2.
a. Form the ANOVA summary table and fill in all values in the body of the table.
b. At the 0.05 level of significance, what is the upper-tail critical value from the F distribution?
c. State the decision rule for testing the null hypothesis that all four groups have equal population means.
d. What is your statistical decision?
11.4 You are working with an experiment that has one factor containing six groups with seven values in each. How many degrees of freedom are there in determining:
a. the between-group variation?
b. the within-group variation?
c. the total variation?
11.5 You are conducting an experiment with one factor containing six groups, with five values in each group. For the following ANOVA summary table, fill in all the missing results.
Source Degrees of freedom Sum of squares Mean square (variance) F
Between groups c - 1 = ? SSB = ? MSB = 80 F = ?
Within groups n - c = ? SSW = 560 MSW = ?
Total n - 1 = ? SST = ?
11.6 You are working with the same experiment as in problem 11.5.
a. At the 0.05 level of significance, state the decision rule for testing the null hypothesis that all six groups have equal population means.
b. What is your statistical decision?
c. At the 0.05 level of significance, what is the upper-tail critical value from the Studentised range distribution?
d. To perform the Tukey-Kramer procedure, what is the critical range?
11.7 You are conducting an experiment with one factor containing five groups, with 10 values in each group. For the ANOVA summary table below, fill in all the missing results.
Source Degrees of freedom Sum of squares Mean square (variance) F
Between groups c - 1 = ? SSB = ? MSB = 100 F = ?
Within groups n - c = ? SSW = 1120 MSW = ?
Total n - 1 = ? SST = ?

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