Analysis of Variance 1. Similar to problem 11.30 in the text, based on section 11.2 of the text. A large metropolitan police force is considering changing from full-size cars to intermediates. The police force sampled cars from each of three manufacturers. Each car was driven 5,000 miles, and the operating cost per mile computed. The operating cost, in cents per mile, for the 21 cars is presented below. Perform an analysis of variance on these data using a significance level of 0.05. Complete the ANOVA Table: Report the: a. Critical value b. Test statistic c. Your decision d. Conclusion 2. Similar to problem 11.29 in the text, based on section 11.2 of the text. An individual owns 3 automobile dealerships and is interested in determining whether average daily sales for the 3 dealerships are the same. A random selection of daily sales at the 3 dealerships is presented in the table below. 1. State the appropriate null and alternative hypotheses for this analysis. 3. What is the between-column (explained) variance? 4. Report the Mean Square Error (MSE) for this ANOVA? 5. What is the value of the test-statistic for the test specified above? 6. What are the degrees of freedom for the hypothesis that average sales for each dealership are equal? a. 2 for numerator, 9 for denominator b. 9 for numerator, 2 for denominator c. 2 for numerator, 11 for denominator d. 11 for numerator, 9 for denominator 8. In testing the hypothesis that average sales for each dealership are equal, the appropriate conclusion to be drawn would be: a. reject H0 at the 10% significance level. b. the test is significant at the 88% level. c. the test is not significant at the 5% level. d. cannot reject the null hypothesis at the 10% level. e. accept the null hypothesis at the 88% level. 9. What is the critical value for this test if the decision maker is willing to take a 10% chance of error? 10. In one sentence, make a statement to interpret the results of this analysis