* If You Correctly Bubble in Your Name and Social Security Number, and Are Taking the Exam s1
Total Page：16
File Type：pdf, Size：1020Kb
QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 1 of 11
Any question with more than three answer choices is worth 5 points. Any two or three-answer questions are worth 3 points each. The maximum score on the exam is 100 points.
If you wish to file a protest about anything concerning this exam, check the syllabus for procedures.
Get the Form Code from the header and bubble that in on the scantron.
Put your UF ID number on the scantron.
For this exam, your section number should be 00XX where XX is the two- digit room location code the proctors give you. Make sure you put that on the scantron.
Sign your name, IN INK, in the shaded box below.
Take your exam and a picture ID to one of the exam proctors when you go up to turn in your answer sheet. The proctor will compare the signature on the ID with the one in the box.
Sign your name in this box
UF ID: ______- ______
CODE FOR ROOM LOCATION: 00 __ __
SIMPLIFIED T-TABLE Use this for any t-values you need to look up on the exam. (If your calculator does t-values, they may be different and thus wrong) QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 2 of 11
USE THIS INFORMATION AND THE OUTPUT ON PAGE 8 TO ANSWER ALL QUESTIONS ON THIS PAGE
Police cars, ambulances and other emergency vehicles are required to carry road flares. One of the most important features of flares is their burning times. To help decide which of four brands (A, B, C and D) on the market to use, a police laboratory technician measured the burning time for a random sample of each brand. The results were recorded to the nearest minute and analyzed with both an ANOVA and a Kruskal-Wallis procedure.
1. As demonstrated in the Kruskal-Wallis analysis, there are no significant differences between the median burn times of the four brands of flares.
A. TRUE B. FALSE
2. The median burn time of Flare C appears to be the longest of the four brands.
A. TRUE B. FALSE
3. The Tukey-Kramer analysis indicates that Flare D lasts a significantly shorter time than the other three brands.
A. TRUE B. FALSE
4. The Tukey-Kramer analysis indicates that Flare C lasts a significantly longer time than the other three brands.
A. TRUE B. FALSE
5. The Tukey-Kramer analysis indicates that Flare B lasts a significantly shorter time than Brand C.
A. TRUE B. FALSE
6. The Tukey-Kramer analysis indicates that Flare A is not significantly different from Flare B.
A. TRUE B. FALSE
7. The Tukey-Kramer analysis indicates that Flare A is significantly different from Flare C.
A. TRUE B. FALSE QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 3 of 11
8. After looking at the flare burn time data you analyzed on the previous page, the lab technician did more extensive testing with brands A and C. What she was trying to determine was the proportion of each brand that had an “early flameout” and did not burn at least an hour. The data is in the table at the right.
Under the assumption that both brands have the same proportion of early flameouts, what would be the expected number of brand C flares that did NOT burn at least an hour?
77.5 78.9 80.3 81.7 Choose one: <------+------+------+------+------> A B C D E
9. “Professor Green never uses C”. One of the Answer Frequency representatives of an off-campus tutoring service claims A 63 that Management professor Richard Green sets his exams up B 40 so that a “C” response is the correct answer only about once on each 25-question exam. The other four responses C 10 (“A”, “B”, “D” and “E”) all show up with equal frequency. D 37 Professor Green hears about this claim but does not E 50 believe he does that. He looks at a number of exams he Total 200 has given over the past few years and tallies the correct answers. The results are in the table at the right.
The tutor claimed one answer in 25 was “C” and the rest occurred equally- often. Does the data support this claim? What is the value of the Chi- Square statistic you would compute to test this?
8.9 9.4 9.9 10.4 Choose one: <------+------+------+------+------> A B C D E
10. If you did problem 9 correctly it should show the overall frequencies differ from the tutor’s claim. But, what about the “only 1 out of 25” answers are “C” part? Does the analysis show this part of the claim was approximately true?
A. Yes B. No
11. I have carefully reviewed my scantron and have correctly bubbled in my UF ID number, the exam form code and have used the “section number” field to record my exam location number.
A. No I didn’t B. Yes I did C. No I didn’t D. No I didn’t E. No I didn’t QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 4 of 11
THIS INFORMATION AND THE OUTPUT ON PAGE 7 PERTAINS TO QUESTIONS 12-15
Online retailers have policies known as “privacy disclaimers” that define the rules regarding their use of information collected from the users of their sites. You can access these disclaimers through a web link, either from the home page, order page or somewhere else on the site. In the United States these links are voluntary, but are mandated by law in other countries.
The location of this link is considered to be a measure of the degree of consumer protection (the farther this is from the home page, the less likely it will be noticed). Marketing researchers did a survey of websites in three nations to determine if the location of the privacy statement was independent of the nationality of the site. They performed a Chi-Square test of:
HO: The privacy disclaimer location is independent of website nationality H1: The disclaimer location depends on website nationality.
12. What is the value of the Chi-square statistic used to test the above H0?
17.5 19.0 20.5 22.0 Choose one: <------+------+------+------+------> A B C D E
13. The Chi-square statistic is significant because it is larger than the critical value of 12.5916. Which nationality (Europe, Asia or USA) contributed the most to the value of the Chi-Square statistic?
A. Europe B. Asia C. USA
2 14. If we judge by looking at the squared error terms (Oi-Ei) /Ei it appears that the number of USA-origin websites with the disclaimer located on the home page was about what was expected.
A. TRUE B. FALSE
15. If we added another nationality (perhaps websites from South America) to the analysis, how many degrees of freedom would the Chi-Square statistic have?
A. 6 to 8 B. 9 C. 10 D. 11 E. 12
------
16. In a related study, the marketing researchers found that the covariance between time spent at a website and the number of pages viewed was 21.2256. The standard deviation for time was 20.1 and for pages was 2.2. What is the correlation between time and pages?
.32 .37 .42 .46 Choose one: <------+------+------+------+------> A B C D E QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 5 of 11 17. For the result in question 16 above, what does the “quick rule” imply the minimum sample size would need to be for the correlation to be significant?
A. 15 to 18 B. 19 to 22 C. 23 to 26 D. 27 to 30 E. 31 or more QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 6 of 11
Displayed above is an analysis of the service times for 44 customers at four offices of the license bureau. Use this for the following four questions:
18. Suppose you were going to do a Tukey-Kramer comparison of the service times. The tabled value of Q that would be used is Q=3.78. What would be the value of the critical range for comparing offices 1-North and 2-Central?
15.20 15.40 15.60 15.80 Choose one: <------+------+------+------+------> A B C D E
19. Now suppose you want to redo the ANOVA but are going to eliminate 1-North from the analysis. If you recomputed the overall mean using just the other three groups, what is it?
18.0 21.0 24.0 26.0 Choose one: <------+------+------+------+------> A B C D E
20. Again you want to redo the ANOVA but are going to eliminate 1-North from the analysis. Using just the other three groups, what is the new Mean Square Between Groups?
662.76 1062.76 1462.76 1862.76 Choose one: <------+------+------+------+------> A B C D E
21. Again you want to redo the ANOVA but are going to eliminate 1-North from the analysis. Using just the other three groups, what is the new pooled-sample variance (Mean Square Within Groups)?
149.34 169.34 189.34 209.34 Choose one: <------+------+------+------+------> A B C D E QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 7 of 11
THIS INFORMATION SHOULD BE USED WITH THE OUTPUT ON PAGE 9 TO ANSWER THE QUESTIONS BELOW.
A psychologist is working with three types of aptitude tests (ProfileFit, MindAmaze and PsychYou) that may be given to prospective management trainees in a firm. In deciding how to structure the testing process, an important issue is the possibility of interaction between test takers and test type. If there is no interaction, only one type of test would be needed.
First, 36 prospective employees were interviewed and graded as Excellent, Good, Fair or Poor subjects for management training. Then, three of each group took the ProfileFit test, three others the MindAmaze test, and the other three the PsychYou test. The scores (higher means more aptitude for management) were then analyzed with a Two-Way ANOVA. The output is on page 9.
22. The F test implies there is significant interaction between test type and subject type.
A. TRUE B. FALSE
23. The F test implies there are significant differences due to subject type.
A. TRUE B. FALSE
24. The F test implies there are significant differences due to test type.
A. TRUE B. FALSE
25. If the main goal of the aptitude testing process was to find out who are the excellent subjects, we would not need to worry about what type of test to use.
A. TRUE B. FALSE
26. If the main goal of the aptitude testing process was to “weed out” the poor subjects, we would not need to worry about what type of test to use.
A. TRUE B. FALSE QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 8 of 11
THE QUESTIONS ABOUT THIS DATA ARE ON PAGE 4 QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 9 of 11 QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 10 of 11
Aptitude Score By Test and Subject Type
90
e 85 r o c S
80 t s e T 75 PoorSub e t
u FairSub t i
t 70
p GoodSub A
e 65 ExcelSub g a r e
v 60 A 55
50 ProfileFit MindAmaze PsychYou Type of Aptitude Test QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 11 of 11 FORMULA SHEET
------One-Way ANOVA ------
One-Way ANOVA with C groups, samples sizes n1, n2 through nC which total n 1 C Grand (overall mean): X n j X j n j 1 C 2 Between or Among-group variation: SSA nj (X j X ) MSA SSA/(C 1) j 1 C 1 2 Within-group variation: pooled sample variance MSW (n j 1)S j (n C) j 1
F-ratio for differences between groups: F = MSA/MSW
Tukey-Kramer Critical Range to compare MSW 1 1 samples h and k (Q will be given): CR Q 2 nh nk
------Chi-Square Tests ------
K (O E )2 K is the number of “cells” in the table 2 i i Chi-Square statistic: Oi is the observed count per “cell” i 1 Ei Ei is the expected count
2xC table: row proportion = row total/(table total)
E = row proportion times column total df = (C-1) which is 1 in a 2x2 table
RxC table: df = (R-1)(C-1) the value of E comes from the computer program
One-way table (Goodness-of-fit test) with K categories: df = K-1, Ei is provided by some external assumption about pattern in the categories
------Correlation ------
Cov(X ,Y ) Correlation given covariance between r X and Y, standard deviations SX and SY SxSy 2 Quick rule: Correlation is significant if r n QMB 3250 Fall 2010 Exam 2 Form A Nov. 3, 2010 Page 12 of 11
Scratch paper Sheet is intentionally blank Except to remind you that there are a total of 26 questions on this test