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Exam 11: Analysis of Variance

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Question 31

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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?

A) Reject the null hypothesis because the p-value is smaller than the level of significance.
B) Reject the null hypothesis because the p-value is larger than the level of significance.
C) Do not reject the null hypothesis because the p-value is smaller than the level of
Significance.
D) Do not reject the null hypothesis because the p-value is larger than the level of
Significance.

E) All of the above
F) None of the above

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Question 32

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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

A) 0.25
B) 0.37
C) 4.36
D) 10.76

E) A) and D)
F) B) and C)

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Question 33

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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.

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,

SCENARIO 11-5 -True or False: Referring to Scenario 11-5, the total mean squares is 261.90.

In a one-way ANOVA, the null hypothesis is always

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.

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

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.

In a one-way ANOVA

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.

The F test statistic in a one-way ANOVA is

True or False: When the F test is used for ANOVA, the rejection region is always in the right tail.

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

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.

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.

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