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 1970 = .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 oneway 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: Oneway ANOVA 1971 Chapter 01  An Introduction to Business Statistics 3. In a completely randomized (oneway) 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: Oneway 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: Oneway 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 1972 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: Oneway 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: Oneway ANOVA 9. The error sum of squares measures the betweentreatment variability.
FALSE AACSB: Reflective Thinking
Bloom's: Comprehension
Difficulty: Medium
Learning Objective: 2
Topic: Oneway ANOVA 10. In oneway ANOVA, a large value of F results when the withintreatment variability is
large compared to the betweentreatment variability.
FALSE AACSB: Reflective Thinking
Bloom's: Comprehension
Difficulty: Medium
Learning Objective: 2
Topic: Oneway ANOVA 1973 Chapter 01  An Introduction to Business Statistics 11. In oneway 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: Oneway ANOVA 12. In oneway 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: Oneway ANOVA 13. In oneway ANOVA, the numerator of the F statistic is an estimate of the population
variance based on withintreatment variation.
TRUE AACSB: Reflective Thinking
Bloom's: Comprehension
Difficulty: Hard
Learning Objective: 2
Topic: Oneway ANOVA 14. In oneway ANOVA, as the betweentreatment variation decreases, the probability of
rejecting the null hypothesis increases.
FALSE AACSB: Reflective Thinking
Bloom's: Comprehension
Difficulty: Hard
Learning Objective: 2
Topic: Oneway ANOVA 1974 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 oneway 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: Oneway ANOVA 17. In a oneway analysis of variance with three treatments, each with five measurements, in
which a completely randomize...
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 Winter '14
 Frequency, Frequency distribution, Histogram, AACSB, Statistical charts and diagrams

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