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Chapter 12 - Analysis of Variance Chapter 12 Analysis of Variance True / False Questions 1. The F distribution's curve is positively skewed. True False 2. One characteristic of the F distribution is that the computed F can only range between -1 and +1. True False 3. If the computed value of F is 0.99 and the critical value is 3.89, we would not reject the null hypothesis. True False 4. For the hypothesis test, , with n 1 = 10 and n 2 = 10, the F-test statistic is 2.56. At the 0.01 level of significance, we would reject the null hypothesis. True False 5. To employ ANOVA, the populations being studied must be approximately normally distributed. True False 6. To employ ANOVA, the populations should have approximately equal standard deviations. True False 12-1 Chapter 12 - Analysis of Variance 7. The alternative hypothesis used in ANOVA is . True False 8. For an ANOVA test, rejection of the null hypothesis does not identify which treatment means differ significantly. True False 9. In an ANOVA table, k represents the total number of sample observations and n represents the total number of treatments. True False 10. If a confidence interval for the difference between a pair of treatment means includes 0, then we reject the null hypothesis that there is no difference in the pair of treatment means. True False 11. If we want to determine which treatment means differ, we compute a confidence interval for the difference between each pair of means. True False 12. When a blocking effect is included in an ANOVA, the result is a larger error sum of squares. True False 13. When a blocking effect is included in an ANOVA, the analysis is more likely to detect differences in the treatment means. True False 12-2 Chapter 12 - Analysis of Variance 14. In a two-way ANOVA with interaction, there are two factor effects and an interaction effect. True False 15. Interaction between two factors occurs when the effect of one factor on the response variable is the same for any value of another factor. True False Multiple Choice Questions 16. An F statistic is: A. a ratio of two means. B. a ratio of two variances. C. the difference between three means. D. a population parameter. 17. What distribution does the F distribution approach as the sample size increases? A. Binomial B. Normal C. Poisson D. Exponential 18. Which statement is correct about the F distribution? A. Cannot be negative B. Cannot be positive C. Is the same as the t distribution D. Is the same as the z distribution 12-3 Chapter 12 - Analysis of Variance 19. Analysis of variance is used to A. compare nominal data. B. compute t test. C. compare population proportions. D. simultaneously compare several population means.... View Full Document