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Question

# (5) decimal places for your probabilities in the report, as some of them will be quite small. Do not convert to

percentages as we are interested in probabilities only here.

1.   Based on the relative frequencies for responses to each variable, determine the probability that a randomly selected respondent from:

a.   SPRSPEND [variable 4] spends at least \$15 during a trip to Springdale Mall.

b.   DOWSPEND [variable 5] spends at least \$15 during a trip to Downtown.

c.    WESSPEND [variable 6] spends at least \$15 during a trip to West Mall.

Comparing the preceding probabilities, rank the areas from strongest to weakest in terms of the amount of money a shopper spends during a typical shopping visit.

2.   Based on the relative frequencies for responses to each variable, determine the probability that a randomly selected respondent from:

a.   BSTQUALI [variable 11] feels that Springdale Mall has the highest-quality goods.

b.   BSTQUALI [variable 11] feels that Downtown has the highest-quality goods.

c.    BSTQUALI [variable 11] feels that West Mall has the highest-quality goods.

Comparing the preceding probabilities, rank the areas from strongest to weakest in terms of the quality of goods offered.

3.   Set up a contingency table for the appropriate variables given, and then determine the following probabilities:

a.   SPRSPEND and RESPGEND [variables 4 and 26]: Given that the random respondent is a female, what is the probability that she spends at least \$15 during a trip to Springdale Mall? Is a male more likely or less likely than a female to spend at least \$15 during a visit to this area?

b.   DOWSPEND and RESPGEND [variables 5 and 26]: Given that the random respondent is a female, what is the probability that she spends at least \$15 during a trip to Downtown? Is a male more likely or less likely than a female to spend at least \$15 during a visit to this area?

c.    WESSPEND and RESPGEND [variables 6 and 26]: Given that the random respondent is a female, what is the probability that she spends at least \$15 during a trip to West Mall? Is a male more likely or less likely than a female to spend at least \$15 during a visit to this area?

Based on the preceding probabilities, rank the shopping areas where males and females are most likely to least likely to spend \$15 or more during a shopping visit.

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. . 21
Springdale Shopping Survey*
The major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown
area on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas
and to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to
provide information about themselves and their shopping habits. The data are provided in the file SHOPPING) The
variables in the survey were as follows:
Phil Karl 12/4/2014 7:43 PM
Comment [1]: Kathy-there is no such file in the
A. How Often Respondent Shops at Each Area (Variables.1-3)
folder and there is no hyperlink to this term here.
2.
3.
Springdale Mall
Downtown
West Mall
6 or more times/wk.
4-5 times/wk.
(2]
(2)
2-3 times/wk.
(3)
(3)
1 time/wk.
(4)
(4)
2-4 times/mo.
(5)
(51
0-1 times/mo
(6)
(6)
B. How Much the Respondent Spends during a Trip to Each Area (Variables.4-6)
4.
5.
6.
Springdale Mall
Downtown
West Mall
\$200 or more
\$150-under \$200
(2)
(2)
(2)
\$100-under \$150
(3)
(3)
(3)
\$ 50-under \$100
(4)
(4)
(4)
\$ 25-under \$50
(5)
(6)
(5)
\$ 15-under \$25
(6]
(5)
(6)
less than \$15
(7)
(7)
(7)
C. General Attitude toward Each Shopping Area (Variables.Z-9)
7.
B.
9.
Springdale Mall
Downtown
West Mall
Like very much
Like
(4 )
(4)
Neutral
(3)
(3)
Dislike
(2)
(2)
Dislike very much
D. Which Shopping Area Best Fits Each Description (Variables.10-17)

Springdale Shopping Survey*
the major shopping areas in the community of Springdale include Springdale Mall, West Mall, and the downtown
rea on Main Street. A telephone survey has been conducted to identify strengths and weaknesses of these areas
nd to find out how they fit into the shopping activities of local residents. The 150 respondents were also asked to
rovide information about themselves and their shopping habits. The data are provided in the file SHOPPING) The
ariables in the survey were as follows:
A. How Often Respondent Shops at Each Area (Variables 1-3)
1.
2.
3.
Springdale Mall
Downtown
West Mall
6 or more times/wk.
[1)
(1]
4-5 times/wk.
[2)
(2)
(2)
2-3 times/wk.
(3)
(3)
(3)
1 time/wk.
(4)
(4)
2-4 times/mo.
(5)
(5)
(5)
0-1 times/mo.
(6)
(6]
(6)
B. How Much the Respondent Spends during a Trip to Each Area (Variables.4-6)
Springdale Mall
Downtown
West Mall
\$200 or more
(1)
[1]
\$150-under \$200
(2)
(2)
(2)
\$100-under \$150
(3)
(3)
(3)
\$ 50-under \$100
(4)
(4]
(4)
\$ 25-under \$50
(5)
(5)
(5)
\$ 15-under \$25
(6)
(6]
(6)
less than \$15
(7)
(7]
(7)
C. General Attitude toward Each Shopping Area (Variables Z-9)
7.
B.
9.
Springdale Mall
Downtown
West Mall
Like very much
(5)
(5]
Like
(4)
[4]
(4)
Neutral
(3)
(3)
(3)
Dislike
(2)
(2)
(2)
Dislike very much
(1)
(1)
(1)

Springdale
West
No
Mall
Downtown
Mall
Opinion
10. Easyto return/exchange goods
(1)
121
13)
(41
11. High quality of goods
(1)
(2)
(3)
(4)
12. Low prices
(1)
(2)
(3)
(4)
13. Good variety of sizes/styles
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
15. Convenient shopping hours
(1)
(2)
(3)
(4)
16. Clean stores and surroundings
(1)
(2)
(3)
(4)
17. A lot of bargain sales
(1)
(2)
(3)
(41
E. Importance of Each Item in Respondent's Choice of a Shopping Area (Variables 18-25)
Not
Very
Important
18. Easyto return/exchange goods
(1)
(2
19. High quality of goods
(1)
(2)
20. Low prices
(1)
(2)
21. Good variety of sizes/styles
(1)
(2)
(1)
(2)
23. Convenient shopping hours
(1)
(2)
24. Clean stores and surroundings
(1)
(2)
25. A lot of bargain sales
(2)
60606063
93939393
F. Information about the Respondent (Variables 26-30)
26. Gender: (1) = Male
(2) = Female
27. Number of years of school completed:
(1) = less than 8 years
(3) = 12-under 16 years

D. Which Shopping Area Best Fits Each Description (Variables 10-17)
Springdale
West
No
Mall
Downtown
Mall
Opinion
10. Easyto return/exchange goods
[1)
12)
(3)
(4)
11. High quality of goods
(1)
(2)
13)
(41
12. Low prices
(1)
(2)
(3)
(4)
13. Good variety of sizes/styles
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
15. Convenient shopping hours
(1)
(2)
(3)
(4)
16. Clean stores and surroundings
(1)
(2)
(3)
(4)
17. A lot of bargain sales
(1)
(2)
(3)
(4)
E. Importance of Each Item in Respondent's Choice of a Shopping Area (Variables 18-25)
Not
Very
Important
Important
18. Easyto return/exchange goods
(1)
(2)
19. High quality of goods
(1)
(2)
20. Low prices
(1)
(2)
21. Good variety of sizes/styles
(1)
(2)
(1)
(2)
23. Convenient shopping hours
(2)
24. Clean stores and surroundings
(1)
(2)
25. A lot of bargain sales
(1)
99399393
F. Information about the Respondent (Variables 26-30)
26. Gender: (1) = Male
(2) = Female

E. Importance of Each Item in Respondent's Choice of a Shopping Area (Variables 18-25)
Not
Very
Important
18. Easyto return/exchange goods
(1)
12
19. High quality of goods
(2)
20. Low prices
(1)
(2)
21. Good variety of sizes/styles
(1)
(2)
(1)
(2)
23. Convenient shopping hours
(1)
(1)
(2)
24. Clean stores and surroundings
(2)
25. A lot of bargain sales
(2)
39939393
F. Information about the Respondent (Varjables 26-30)
26. Gender: (1) = Male
(2) = Female
27. Number of years of school completed:
(1) = less than 8 years
(3) = 12-under 16 years
(2) = 8-under 12 years
(4) = 16 years or more
28. Marital status: (1) = Married (2) = Single or other
29. Number of people in household;
30. Age:
_years
Each respondent in this database is described by 30 variables. As an example of their interpretation, consider row number 1.
This corresponds to respondent number 1 and contains the following information.
Variable number 6 = 7. The
respondent usually spends less
Variable number. 26 = 2. The
than \$15 when she
respondent is a female.
shops at West Mall.
555672444143141467265667232421
Variable number 1 = 5.
Variable number 19 = 7.
The respondent shops at Spring-
Respondent believes &quot;high quality
dale Mall 2-4 times/month.
of goods&quot; is very important in
choosing a shopping area.
&quot;Source: Materials for this case have been provided courtesy of The Archimedes Group, Indiana, PA. Data are based on actual responses
obtained to this subset of the questions included in the survey; town and mall identities have been disguised as well as a number of
responses were updated.

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