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MA 335 FINAL EXAM

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1. TABLE 11-3 A realtor wants to compare the average 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 Table 11-3, the among-group degrees of freedom is A) 3. B) 4. C) 16. D) 12. ANSWER A 2. TABLE 11-3 A realtor wants to compare the average 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 Table 11-3, the within-group sum of squares isA) 1.0606. B) 4.3644. C) 1.1825. D) 3.1819 ANSWER C

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1. TABLE 11-3

A realtor wants to compare the average 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 Table 11-3, the among-group degrees of freedom is




A) 3.

B) 4.

C) 16.

D) 12.




2. TABLE 11-3

A realtor wants to compare the average 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 Table 11-3, the within-group sum of squares is

, A) 1.0606.

B) 4.3644.

C) 1.1825.

D) 3.1819.




3. A completely randomized design




A) has one factor and one block and multiple values.

B) can have more than one factor, each with several treatment groups.

C) has one factor and one block.

D) has only one factor with several treatment groups.




4. The F test statistic in a one-way ANOVA is




A) MSA/MSW.

B) SSA/SSW.

C) MSW/MSA.

D) SSW/SSA.




5. TABLE 11-2

An airline wants to select a computer software package for its reservation system. Four
software packages (1, 2, 3, and 4) are commercially available. The airline will choose the
package that bumps as few passengers, on the average, as possible during a month. An
experiment is set up in which each package is used to make reservations for 5 randomly
selected weeks. (A total of 20 weeks was included in the experiment.) The number of
passengers bumped each week is obtained, which gives rise to the following Excel output:

ANOVA

, Referring to Table 11-2, the within groups degrees of freedom is




A) 19.

B) 16.

C) 4.

D) 3.




6. TABLE 11-5

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 Table 11-5, what assumption(s) need(s) to be made in order to conduct the
test for differences between the mean charges of foreign and USA medical school
graduates?

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