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# A 42 b 8 c 8 d 64 17 in a one way analysis of variance

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Unformatted text preview: . 28. In a completely randomized (one-way) analysis of variance problem with c groups and a total of n observations in all groups, the variance between groups is equal to: A. (Total sum of squares) - (Sum of squares within columns) B. (Sum of squares between columns)/(c-1) C. (Total sum of squares) - [(Sum of squares within columns)/(n-c)] D. [(Total sum of squares)/(n-1)] - [(Sum of squares between columns)/(c-1)] 29. The degrees of freedom error (within group variation) of a completely randomized design (one-way) ANOVA test with 4 groups and 15 observations per each group is: A. 3 B. 56 C. 59 D. 14 E. 4 1-939 Chapter 01 - An Introduction to Business Statistics 30. The degrees of freedom treatment (between group variation) of a completely randomized design (one-way) ANOVA test with 4 groups and 15 observations per each group is: A. 3 B. 56 C. 59 D. 14 E. 4 31. The degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks is: A. 3 B. 4 C. 20 D. 19 E. 12 32. Which one of the following is not an assumption of one-way analysis of variance? A. Random selection of samples from each population. B. Equality of the population variances. C. Equality of the population means. D. Samples selected from each treatment population all have normal distributions. 33. After analyzing a data set using one-way ANOVA model, the same data is analyzed using the randomized block design ANOVA model. SS (Treatment) in the one way ANOVA model is _______________ the SS (Treatment) in the randomized block design ANOVA model. A. Always equal to B. Always greater than C. Always less than D. Sometimes greater than 1-940 Chapter 01 - An Introduction to Business Statistics 34. The advantage of the randomized block design over the completely randomized design is that we are comparing the treatments by using ________ experimental units. A. Randomly selected B. The same C. Different D. Representative E. Equally timed 35. A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as: A. Treatment sum of squares B. Error sum of squares C. Sum of squares within-treatment D. Total sum of squares E. Interaction sum of squares 36. A sum of squares that measures the variability among the sample means is referred to as: A. Treatment sum of squares B. Error sum of squares C. Sum of squares within-treatment D. Total sum of squares E. Interaction sum of squares 37. When we compute 100 (1 - α) confidence intervals, the value of α is called the A. comparisonwise error rate B. Tukey simultaneous error rate C. experimentwise error rate D. pairwise error rate 1-941 Chapter 01 - An Introduction to Business Statistics 38. In one-way ANOVA, the treatment sum of squares equals: A. SSTO - SS (error) - SS (interaction) B. SSTO - SS (factor 1) - SSE C. SSTO - SS (interaction) - SS (factor 1) - SS (factor 2) D. SSTO - SS (factor 1) - SS (factor 2) E. SSTO - SS (error) 39. In randomized block ANOVA, the sum of squares for factor 1 equals: A. SSTO - SS (error) - SS (interaction) B. SSTO - SS (factor 2) - SSE C. SSTO - SS (interaction) - SS (factor 2) D. SSTO - SS (factor 2) E. SSTO - SS (error) 40. Which of the following is not an assumption for one-way analysis of variance? A. The p populations of values of the response variable associated with the treatments have equal variances. B. The samples of experimental units associated with the treatments are randomly selected. C. The experimental units associated with the treatments are independent samples. D. The number of sampled observations must be equal for all p treatments. E. The distribution of the response variable is normal for all treatments. 41. We have just performed a one-way ANOVA on a given set of data and rejected the null hypothesis for the ANOVA F test. Assume that we are able to perform a randomized block design ANOVA on the same data. For the randomized block design ANOVA, the null hypothesis for equal treatments will ______ be rejected. A. Always B. Sometimes C. Never 1-942 Chapter 01 - An Introduction to Business Statistics 42. We have just performed a one-way ANOVA on a given set of data and did not reject the null hypothesis for the ANOVA F test. Assume that we are able to perform a randomized block design ANOVA on the same data. For the randomized block design ANOVA, the null hypothesis for equal treatments will ______ be rejected. A. Always B. Sometimes C. Never 43. The Excel/Mega-Stat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners. The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt. At a significance level of .05, we would: A. Not be able to reject the null hypothesis of equal population means. B. Reject the null hypothesis of equal population means. C. Reject or fail to reject depending on the value of the t statistic. D. Not be able to decide whet...
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## This document was uploaded on 01/20/2014.

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