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Unformatted text preview: analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Test Ho: there is no difference between blocks at A. Reject H0 B. Fail to Reject H0 1-970 = .05. Chapter 01 - An Introduction to Business Statistics Chapter 11 Experimental Design and Analysis of Variance Answer Key True / False Questions 1. A balanced complete factorial experiment is an experiment in which we select samples of varying sizes. FALSE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 1 Topic: Experimental design 2. A one-way analysis of variance is a method that allows us to estimate and compare the effects of several treatments on a response variable. TRUE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 2 Topic: One-way ANOVA 1-971 Chapter 01 - An Introduction to Business Statistics 3. In a completely randomized (one-way) ANOVA, other things equal as the sample means get closer to each other the probability of rejecting the null hypothesis decreases. TRUE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 2 Topic: One-way ANOVA 4. The experiment wise α for the 95% individual confidence interval for (treatment mean 1 - treatment mean 2) will always be smaller than the experiment wise α for Tukey's 95% simultaneous confidence interval for FALSE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 2 Topic: One-way ANOVA 5. When using a randomized block design the interaction effect between the block and treatment factors cannot be separated from the error term. TRUE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Hard Learning Objective: 3 Topic: Randomized block design 6. Experimental data is collected so that the values of the dependent variables are set before the values of the independent variable are observed. FALSE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 1 Topic: Experimental design 1-972 Chapter 01 - An Introduction to Business Statistics 7. The 95% individual confidence interval for (treatment mean 1 - treatment mean 2) will always be smaller than the Tukey's 95% simultaneous confidence interval for . TRUE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 2 Topic: One-way ANOVA 8. After rejecting the null hypothesis of equal treatments, a researcher decided to compute a 95% confidence interval for the difference between the mean of treatment 1 and mean of treatment 2 based on Tukey's procedure. At = .05, if the confidence interval includes the value of zero, then we can reject the hypothesis that the two population means are equal. FALSE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Hard Learning Objective: 2 Topic: One-way ANOVA 9. The error sum of squares measures the between-treatment variability. FALSE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 2 Topic: One-way ANOVA 10. In one-way ANOVA, a large value of F results when the within-treatment variability is large compared to the between-treatment variability. FALSE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 2 Topic: One-way ANOVA 1-973 Chapter 01 - An Introduction to Business Statistics 11. In one-way ANOVA, the numerator degrees of freedom equals the number of samples being compared. FALSE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Easy Learning Objective: 2 Topic: One-way ANOVA 12. In one-way ANOVA, other factors being equal, the further apart the treatment means are from each other, the more likely we are to reject the null hypothesis associated with the ANOVA F test. TRUE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Hard Learning Objective: 2 Topic: One-way ANOVA 13. In one-way ANOVA, the numerator of the F statistic is an estimate of the population variance based on within-treatment variation. TRUE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Hard Learning Objective: 2 Topic: One-way ANOVA 14. In one-way ANOVA, as the between-treatment variation decreases, the probability of rejecting the null hypothesis increases. FALSE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Hard Learning Objective: 2 Topic: One-way ANOVA 1-974 Chapter 01 - An Introduction to Business Statistics Multiple Choice Questions 15. Different levels of a factor are called A. Treatments B. Variables C. Responses D. Observations AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 1 Topic: Experimental design 16. If the total sum of squares in a one-way analysis of variance is 25 and the treatment sum of squares is 17, then the error sum of squares is? A. 42 B. 8 C. -8 D. 64 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 2 Topic: One-way ANOVA 17. In a one-way analysis of variance with three treatments, each with five measurements, in which a completely randomize...
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