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# Assume equal population variances setup the

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Unformatted text preview: d (one-way) ANOVA, other things equal as the sample means get closer to each other the probability of rejecting the null hypothesis decreases. True False 1-933 Chapter 01 - An Introduction to Business Statistics 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 True False 5. When using a randomized block design the interaction effect between the block and treatment factors cannot be separated from the error term. True False 6. Experimental data is collected so that the values of the dependent variables are set before the values of the independent variable are observed. True False 1-934 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 False 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. True False 9. The error sum of squares measures the between-treatment variability. True False 10. In one-way ANOVA, a large value of F results when the within-treatment variability is large compared to the between-treatment variability. True False 11. In one-way ANOVA, the numerator degrees of freedom equals the number of samples being compared. True False 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 False 13. In one-way ANOVA, the numerator of the F statistic is an estimate of the population variance based on within-treatment variation. True False 1-935 Chapter 01 - An Introduction to Business Statistics 14. In one-way ANOVA, as the between-treatment variation decreases, the probability of rejecting the null hypothesis increases. True False Multiple Choice Questions 15. Different levels of a factor are called A. Treatments B. Variables C. Responses D. Observations 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 17. In a one-way analysis of variance with three treatments, each with five measurements, in which a completely randomized design is used, what is the degree of freedom for treatments? A. 5 B. 2 C. 4 D. 8 18. In a one-way analysis of variance with three treatments, each with five measurements, in which a completely randomized design is used, what is the degree of freedom for error? A. 6 B. 8 C. 2 D. 12 1-936 Chapter 01 - An Introduction to Business Statistics 19. Consider the one-way ANOVA table. What is the treatment mean square? A. 71.297 B. .5604 C. 1.297 D. 213.881 E. 9.7 20. Consider the one-way ANOVA table. What is the mean square error? A. 71.297 B. .5604 C. 1.297 D. 213.8810 E. 9.7 21. Consider the one-way ANOVA table. How many groups (treatment levels) are included in the study? A. 3 B. 4 C. 6 D. 20 E. 24 1-937 Chapter 01 - An Introduction to Business Statistics 22. Consider the one-way ANOVA table. If there are an equal number of observations in each group, then each group (treatment level) consists of ______ observations. A. 3 B. 4 C. 6 D. 20 E. 24 23. When computing individual confidence intervals using the t statistic for all possible pairwise comparison of means, the experimentwise error rate will be: A. Equal to α B. Less than α C. Greater than α 24. When computing confidence intervals using Tukey's procedure for all possible pairwise comparison of means, the experimentwise error rate will be A. Equal to α B. Less than α C. Greater than α 25. When computing a confidence interval for the difference between two means, the width of the (1 - α) confidence interval based on Tukey's procedure will be __________ the width of the (1 - α) individual confidence interval based on t statistic. A. Greater than B. Less than C. Same as D. Sometimes greater than sometimes less than 1-938 Chapter 01 - An Introduction to Business Statistics 26. When using a completely randomized design (one - way analysis of variance), the calculated F statistic will decrease A. The variability among the groups decreases relative to the variability within the groups B. The total variability increases C. The total variability decreases D. The variability among the groups increases relative to the variability within the groups 27. In a completely randomized ANOVA, other things equal as the sample means get closer to each other, the probability of rejecting the null hypothesis: A. Decreases. B. Increases. C. Is unaffected...
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## This document was uploaded on 01/20/2014.

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