Exam 11: Analysis of Variance
Exam 1: Defining and Collecting Data200 Questions
Exam 2: Organizing and Visualizing189 Questions
Exam 3: Numerical Descriptive Measures80 Questions
Exam 4: Basic Probability108 Questions
Exam 5: Discrete Probability Distributions81 Questions
Exam 6: Conthe Tinuonormausl Disdis Tributionstribution and Other38 Questions
Exam 7: Sampling Distributions62 Questions
Exam 8: Confidence Interval Estimation139 Questions
Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests133 Questions
Exam 10: Two-Sample Tests95 Questions
Exam 11: Analysis of Variance73 Questions
Exam 12: Chi-Square and Nonparametric100 Questions
Exam 13: Simple Linear Regression89 Questions
Exam 14: Introduction to Multiple113 Questions
Exam 15: Multiple Regression62 Questions
Exam 16: Time-Series Forecasting61 Questions
Exam 17: Business Analytics102 Questions
Exam 18: A Roadmap for Analyzing Data133 Questions
Exam 19: Statistical Applications in Quality Management86 Questions
Exam 20: Decision Making121 Questions
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SCENARIO 11-5
-True or False: Referring to Scenario 11-5, the total mean squares is 261.90.

(True/False)
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SCENARIO 11-3
-True or False: Referring to Scenario 11-3, based on the Tukey-Kramer procedure with an overall
level of significance of 0.05, the retailer would decide that there is a significant difference
between all pairs of mean speeds.

(True/False)
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SCENARIO 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four
neighborhoods (A, B, C, and D).Four properties are randomly selected from each neighborhood and
the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
-Referring to Scenario 11-2, the value of the test statistic for Levene's test for homogeneity of
Variances is

(Multiple Choice)
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SCENARIO 11-4
Analysis of Variance 11-15
-Referring to Scenario 11-4, construct the ANOVA table from the sample data.

(Essay)
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SCENARIO 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four
neighborhoods (A, B, C, and D).Four properties are randomly selected from each neighborhood and
the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
-Referring to Scenario 11-2, what should be the decision for the Levene's test for homogeneity of
Variances at a 5% level of significance?

(Multiple Choice)
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SCENARIO 11-4
Analysis of Variance 11-15
-True or False: Referring to Scenario 11-4, the test is valid only if the population of crop yields is
normally distributed for the 3 varieties.

(True/False)
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SCENARIO 11-3
-Referring to Scenario 11-3, the sporting goods retailer decided to compare the 4 treatment means
by using the Tukey-Kramer procedure with an overall level of significance of 0.05.There are
________ pairwise comparisons that can be made.

(Essay)
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SCENARIO 11-11
A physician and president of a Tampa Health Maintenance Organization (HMO)are attempting to
show the benefits of managed health care to an insurance company.The physician believes that
certain types of doctors are more cost-effective than others.One theory is that Primary Specialty is an
important factor in measuring the cost-effectiveness of physicians.To investigate this, the president
obtained independent random samples of 20 HMO physicians from each of 4 primary specialties -
General Practice (GP), Internal Medicine (IM), Pediatrics (PED), and Family Physicians (FP)- and
recorded the total charges per member per month for each.A second factor which the president
believes influences total charges per member per month is whether the doctor is a foreign or USA
medical school graduate.The president theorizes that foreign graduates will have higher mean
charges than USA graduates.To investigate this, the president also collected data on 20 foreign
medical school graduates in each of the 4 primary specialty types described above.So information on
charges for 40 doctors (20 foreign and 20 USA medical school graduates)was obtained for each of
the 4 specialties.The results for the ANOVA are summarized in the following table.
-Referring to Scenario 11-11, interpret the test for interaction.

(Multiple Choice)
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SCENARIO 11-5
-Referring to Scenario 11-5, the null hypothesis for Levene's test for homogeneity of variances is 


(Multiple Choice)
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SCENARIO 11-3
-True or False: Referring to Scenario 11-3, the decision made implies that all 4 means are
significantly different.

(True/False)
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True or False: When the F test is used for ANOVA, the rejection region is always in the right
tail.
(True/False)
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SCENARIO 11-4
Analysis of Variance 11-15
-True or False: Referring to Scenario 11-4, the null hypothesis should be rejected at 0.005 level of
significance.

(True/False)
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SCENARIO 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four
neighborhoods (A, B, C, and D).Four properties are randomly selected from each neighborhood and
the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
-Referring to Scenario 11-2, the numerator and denominator degrees of freedom for Levene's test
For homogeneity of variances at a 5% level of significance are, respectively,

(Multiple Choice)
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SCENARIO 11-3
-Referring to Scenario 11-3, the null hypothesis for Levene's test for homogeneity of variances is 


(Multiple Choice)
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SCENARIO 11-11
A physician and president of a Tampa Health Maintenance Organization (HMO)are attempting to
show the benefits of managed health care to an insurance company.The physician believes that
certain types of doctors are more cost-effective than others.One theory is that Primary Specialty is an
important factor in measuring the cost-effectiveness of physicians.To investigate this, the president
obtained independent random samples of 20 HMO physicians from each of 4 primary specialties -
General Practice (GP), Internal Medicine (IM), Pediatrics (PED), and Family Physicians (FP)- and
recorded the total charges per member per month for each.A second factor which the president
believes influences total charges per member per month is whether the doctor is a foreign or USA
medical school graduate.The president theorizes that foreign graduates will have higher mean
charges than USA graduates.To investigate this, the president also collected data on 20 foreign
medical school graduates in each of the 4 primary specialty types described above.So information on
charges for 40 doctors (20 foreign and 20 USA medical school graduates)was obtained for each of
the 4 specialties.The results for the ANOVA are summarized in the following table.
-Referring to Scenario 11-11, what degrees of freedom should be used to determine the critical
Value of the F ratio against which to test for differences in the mean charges for doctors among
The four primary specialty areas? 


(Multiple Choice)
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True or False: In a one-factor ANOVA analysis, the among sum of squares and within sum of
squares must add up to the total sum of squares.
(True/False)
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SCENARIO 11-2
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four
neighborhoods (A, B, C, and D).Four properties are randomly selected from each neighborhood and
the ratios recorded for each, as shown below.
A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3
B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7
Interpret the results of the analysis summarized in the following table:
-Referring to Scenario 11-2, the critical value of Levene's test for homogeneity of variances at a
5% level of significance is

(Multiple Choice)
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