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\fNote: The computer is highly recommended when using ANOVA techniques. For exercises involving raw data, data files are shown in parentheses. In terms of the assumptions required for using ANOVA, what is the special relevance of the value calculated for the error mean square, MSE?\fNote: The computer is highly recommended when using ANOVA techniques. For exercises involving raw data, data files are shown in parentheses. In using ANOVA to compare the means of several samples, what value would be expected for the calculated F-statistic if the population means really are the same? Explain.Note: The computer is highly recommended when using ANOVA techniques. For exercises involving raw data, data files are shown in parentheses. For the experiment described in Exercise 12 6, what null and alternative hypotheses would be appropriate for the one-way ANOVA to examine the data? Given the following data, what conclusion would be reached at the 0.05 level of significance? From the F distribution tables, what is the approximate p-value for this test? (Use data file XR12023.) Reference: Exercise 12.6 A university president collects data showing the number of absences over the past academic year for a random sample of 6 professors in the College of Engineering. She does the same for a random sample of 9 professors in the College of Business and for a random sample of 8 professors in the College of Fine Arts. Does this represent a designed experiment? Explain.Note: The computer is highly recommended when using ANOVA techniques. For exercises involving raw data, data files are shown in parentheses. For the experiment described in Exercise 12.7. what null and alternative hypotheses would be appropriate for the one-way ANOVA to examine the data? If the data are as shown here, what conclusion would be reached at the 0.025 level of significance? From the F distribution tables. what is the approximate p-value for this test? (Use data file XR12024.) Reference: Exercise 12.7 Twenty accounting students are randomly assigned to two different sections of an intermediate accounting class. Each section ends up consisting of 10 students. In one of the sections. computer-assisted instruction and review software is utilized; in the other section, it is not. All students are given the same final examination at the end of the semester. Does this represent a designed experiment? Explain.Note: The computer is highly recommended when using ANOVA techniques. For exercises involving raw data, data files are shown in parentheses. For the experiment described in Exercise 12 8. what null and alternative hypotheses would be appropriate for the one-way ANOVA to examine the data? If the data are as shown here, what conclusion would be reached at the 0.01 level of significance? (Use data file XR12025.) Reference: Exercise 12.8 From each of four suppliers, a quality-control technician collects a random sample of 10 rivets, then measures the number of pounds each will withstand before it fails. Does this represent a designed experiment? Explain.Note: The computer is highly recommended when using ANOVA techniques. For exercises involving raw data, data files are shown in parentheses. For the following data from independent samples, could the null hypothesis that the population means are equal be rejected at the 0.05 level? (Use data file XIR12026.)Note: The computer is highly recommended when using ANOVA techniques. For exercises involving raw data, data files are shown in parentheses. A large investment firm claims that no discrepancy exists between the average incomes of its male and female investment counselors. Random samples consisting of 15 male counselors and 17 female counselors have been selected, and the results examined through the use of ANOVA. In terms of this situation, interpret the components of the following Minitab output.