Unformatted text preview: . 28. In a completely randomized (oneway) 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)/(c1)
C. (Total sum of squares)  [(Sum of squares within columns)/(nc)]
D. [(Total sum of squares)/(n1)]  [(Sum of squares between columns)/(c1)] 29. The degrees of freedom error (within group variation) of a completely randomized design
(oneway) ANOVA test with 4 groups and 15 observations per each group is:
A. 3
B. 56
C. 59
D. 14
E. 4 1939 Chapter 01  An Introduction to Business Statistics 30. The degrees of freedom treatment (between group variation) of a completely randomized
design (oneway) 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 oneway 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 oneway 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 1940 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 withintreatment
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 withintreatment
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 1941 Chapter 01  An Introduction to Business Statistics 38. In oneway 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 oneway 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 oneway 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 1942 Chapter 01  An Introduction to Business Statistics 42. We have just performed a oneway 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/MegaStat output given above summarizes the results of a oneway 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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 Winter '14

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