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Unformatted text preview: her or not to reject the null hypothesis due to insufficient
information. 1943 Chapter 01  An Introduction to Business Statistics 44.
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, the null hypothesis for the ANOVA F test is rejected. Analysis
of the Tukey's simultaneous confidence intervals shows that at the significance level
(experimentwise) of .05 we would conclude that
A. all four brands of vacuum cleaners differ from each other in terms of their performance.
B. brand 1 differs from brand 2, and brand 2 differs from brand 3 while the rest of the vacuum
cleaner pairs do not differ from each other in terms of their performance.
C. brand 1 differs from brand 2, and brand 3 differs from brands 1, 2 and 4, while the rest of
the vacuum cleaner pairs do not differ from each other in terms of their performance.
D. only brand 3 differs from the other three brands (brands 1,2 and 3), while the rest of the
vacuum cleaner pairs do not differ from each other in terms of their performance.
E. none of the four brands of vacuum cleaners differ from each other in terms of their
performance. 1944 Chapter 01  An Introduction to Business Statistics 45.
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.
What is the total number of observations for all brands of vacuum cleaners (total sample
size)?
A. 14
B. 17
C. 18
D. 19
E. 20 1945 Chapter 01  An Introduction to Business Statistics 46.
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.
Use the information above and determine an individual 95% confidence interval for
.
The mean and sample sizes for brand 1 and brand 2 are as follows:
n1 = 4 and n2 = 5.
A. .2013 to 1.1387
B. .2852 to 1.0547
C. .228 to 1.5680
D. .4515 to .8885
E. It cannot be determined with the information given. 1 = 2.95, 2 = 2.28, 47. Looking at four different diets, a researcher randomly assigned 20 equally overweight
women into each of the four diets. What are the degrees of freedom for the treatments?
A. 20
B. 4
C. 3
D. 19
E. 16 1946 Chapter 01  An Introduction to Business Statistics 48. Looking at four different diets, a researcher randomly assigned 20 equally overweight
women into each of the four diets. What are the degrees of freedom for the error?
A. 20
B. 4
C. 3
D. 19
E. 16 49. Looking at four different diets, a researcher randomly assigned 20 equally overweight
women into each of the four diets. What are the degrees of freedom total?
A. 20
B. 4
C. 3
D. 19
E. 16 50. Looking at four different diets, a researcher randomly assigned 20 equally overweight
women into each of the four diets. What are the degrees of freedom for the confidence
intervals?
A. 20
B. 4
C. 3
D. 19
E. 16 51. _____ simultaneous confidence intervals test all of the pairwise differences between
means respectively while controlling the overall Type I error.
A. Randomized
B. Tukey's
C. Covariate
D. Interacting 1947 Chapter 01  An Introduction to Business Statistics 52. _____ refers to applying a treatment to more than one experimental unit.
A. Randomization
B. Balanced experiment
C. Oneway ANOVA
D. Replication 53. The Ftest for testing the difference between means is equal to ratio of Mean Square
_____________ over Mean Square __________________.
A. Treatment, Error
B. Error, Treatment
C. Treatment, Total
D. Error, Total 54. A _____ design, is an experimental design that compares "v" treatments by using "d"
blocks, where each block is used exactly once to measure the effect of each treatment.
A. Oneway ANOVA
B. Twoway ANOVA
C. Randomized block
D. Balanced complete factorial 55. In oneway ANOVA, the total sum of squares equal to _______________________.
A. Treatment SS plus Error SS
B. Treatment SS minus Error SS
C. Treatment SS * Error SS
D. Treatment SS/Error SS 56. In a ___________________ experimental design, independent random samples of
experimental units are assigned to the treatments.
A. Oneway ANOVA
B. Twoway ANOVA
C. Randomized block
D. Balanced complete factorial 1948 Chapter 01  An Introduction to Business Statistics 57. The dependent variable, the variable of interest in an experiment, is also called
___________ variable.
A. Categorical
B. Regression
C. Response
D. Factor 58. In performing a oneway ANOVA _________ measures the variability of the observ...
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