Name______________________________ BUS
229-001 Professor T. Miller-Greaves October 31, 2013
BUS 229 – Examination #2 Fall 2013
Examination #2
Directions:Read and complete
each question provided in this exam. Each correct answer will be worth 5
points. Please include your answers directly in your email and not as an
attachment.Partial credit will only be given to problems that require a
particular formula and computation. Upon completion of this exam, return the
answers only to me via email to prof.tmillergreaves@me.comby Sunday,
November 3, 2013 at 12:00pm. In the subject of your email, please be sure to
include your name and Exam #2 and BUS 229-001 – Fall 2013. Should you have any
questions, you can contact me at 718-781-6446 and leave a voicemail message or
send me a text message. Thank you.
MULTIPLE CHOICE & FILL IN THE BLANK
QUESTIONS – Multiple Choice – Choose the correct answer from the four choice
answers. Fill in the Blank – Provide the correct answer that correctly
completes the problem. Each correct answer will be worth 5 points.
1) In a one-way ANOVA, if the computed Fstatistic
is greater than the critical Fvalue you may
A) reject H0since
there is evidence all the means differ.
B) reject H0since there is evidence that not all
the means are different. C) not reject H0since there is no evidence of
a difference in the means. D) not reject H0because a mistake has been
made.
Answer: ___________
2) When would you use the Tukey-Kramer procedure? A) To
test for normality
B) To test for homogeneity of variance
C) To test
independence of errors
D) To test for differences in pairs of means Answer:
___________
3) A completely randomized design
A) has only one factor
with several treatment groups.
B) can have more than one factor, each with several
treatment groups. C) has one factor and one block.
D) has one factor and one
block and multiple values.
Answer: ___________
4) The Ftest statistic in a one-way ANOVA is A)
MSW/MSA.
B) SSW/SSA.
C) MSA/MSW.
D) SSA/SSW. Answer: ___________
5) The degrees of freedom for the Ftest in a
one-way ANOVA are A) (n – c)and (c – 1).
B) (c – 1) and (n – c).
C)
(c – n)and (n – 1).
D) (n – 1) and (c – n).Answer: ___________
6) In a one-way ANOVA, the null hypothesis is always A)
there is no difference in the population means. B) there is some treatment
effect.
C) all the population means are different.
D) some of the population means are different. Answer:
___________
TABLE A
As part of an evaluation program, a sporting goods
retailer wanted to compare the downhill coasting speeds of 4 brands of
bicycles. She took 3 of each brand and determined their maximum downhill
speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw 1 43 37 41 43 2 46 38 45
45 3 43 39 42 46
7) Referring to Table A, the sporting goods retailer
decided to perform an ANOVA Ftest. The amount of total variation or SST
is ________.
Answer: ___________
8) Referring to Table A, the among
group variation or SSAis ________.
Answer: ___________
9) Referring to Table A, the within
group variation or SSWis ________.
Answer: ___________
10)Referring to Table A, the value of MSAis
________, while MSWis ________.
Answer: ___________
11)If we use the X2method of analysis to test for
the differences among 4 proportions, the degrees of freedom are equal to
A)
3.
B) 4.
C) 5. D) 1.
Answer: ___________
12)If we wish to determine whether there is evidence that
the proportion of items of interest is the same in group 1 as in group 2, the
appropriate test to use is
A) the Ztest.
B) the X2test.
C) Both A and B. D) Neither A nor
B.
Answer: ___________
13)In testing a hypothesis using the X2test, the
theoretical frequencies are based on the
A) null hypothesis.
B) alternative hypothesis. C) normal
distribution.
D) None of the above.
Answer: ___________
TABLE B
The director of transportation of a large company is
interested in the usage of her van pool. She considers her routes to be divided
into local and non-local. She is particularly interested in learning if there
is a difference in the proportion of males and females who use the local
routes. She takes a sample of a day’s riders and finds the following:
She will use this information to perform a chi-square
hypothesis test using a level of significance of 0.05.
14)Referring to Table B, the test will involve ________
degree(s) of freedom. Answer: __________________________
15)Referring to Table B, the overall or mean proportion
of local riders is ________.
Answer: __________________________
16)Referring to Table B, the expected cell frequency in
the Male/Local cell is ________.
Answer: __________________________
|
|
Male |
Female |
Total |
|
Local |
27
|
44
|
71
|
|
Non-Local |
33 |
25 |
58 |
|
Total
|
60
|
69
|
129
|
17)Referring to Table B, the expected cell frequency in
the Female/Non-Local cell is ________.
Answer: __________________________
18)Referring to Table B, the critical value of the test
is ________. Answer: __________________________
19)Referring to Table B, the value of the test statistic
is ________. Answer: __________________________
20)When testing for independence in a contingency table
with 3 rows and 4 columns, there are ________ degrees of freedom.
A) 5
B) 6
C) 7 D) 12
Answer: __________________________
EXTRA CREDIT : FILL IN THE BLANK QUESTIONS –
Fill in the Blank – Provide the correct answer that correctly completes the
problem. Each correct answer will be worth 2 points.
TABLE C
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:
|
Source dfSS
|
|
Neighborhoods |
|
Error 12
|
|
Total 4.3644
|
21)Referring to Table C, the among group degrees of
freedom is A) 3.
B) 4. C) 12. D) 16.
Answer: __________________________
22)Referring to Table C, the within group sum of squares
is A) 1.0606.
B) 1.1825. C) 3.1819. D) 4.3644.
Answer: __________________________
23)Referring to Table C, the within group mean squares is
A) 0.0985.
B) 0.2910. C) 1.0606. D) 1.1825.
Answer: __________________________
24)Referring to Table C,
A) at the 0.05 level of
significance, the mean ratios for the 4 neighborhoods are not all the same.
B)
at the 0.01 level of significance, the mean ratios for the 4 neighborhoods are
all the same.
C) at the 0.10 level of significance, the mean ratios for the 4 neighborhoods
are not significantly different.
D) at the 0.05 level of significance, the mean
ratios for the 4 neighborhoods are not significantly different from 0.
Answer: __________________________
25)Referring to Table C, the null hypothesis for Levene’s
test for homogeneity of variances is
A) H0:μA = μB= μC= μD.B) H0:
MA= MB= MC= MD.
C ) H0:ó2A=óB2=óC2
=
óD2D) H0:πA = πB
= πC = πD.
Answer: __________________________
