In: Statistics and Probability
Pelican Stores
Pelican Stores, a division of National Clothing, is a chain of
women’s apparel stores operating throughout the country. The chain
recently ran a promotion in which discount coupons were sent to
customers of other National Clothing stores. data collected for a
sample of 100 in-store credit card transactions at Pelican Stores
during one day while the promotion was running are contained in the
file named PelicanStores. Table 2.19 shows a portion of the data
set. The Proprietary Card method of payment refers to charges made
using a National Clothing charge card. Customers who made a
purchase using a discount coupon are referred to as promotional
customers and customers who made a purchase but did not use a
discount coupon are referred to as regular customers. because the
promo- tional coupons were not sent to regular Pelican Stores
customers, management considers the sales made to people presenting
the promotional coupons as sales it would not other- wise make. Of
course, Pelican also hopes that the promotional customers will
continue to shop at its stores.
Most of the variables shown in Table 2.19 are self-explanatory, but two of the variables require some clarification.
- Items The total number of items purchased
- Net Sales The total amount ($) charged to the credit card
Pelican’s management would like to use this sample data to learn about its customer base and to evaluate the promotion involving discount coupons.
Managerial Report
Use the tabular and graphical methods of descriptive statistics to help management develop a customer profile and to evaluate the promotional campaign. At a minimum, your report should include the following:
1. Percent frequency distribution for key variables.
2. A bar chart or pie chart showing the number of customer purchases attributable to the method of payment.
3. A crosstabulation of type of customer (regular or promotional) versus net sales. Comment on any similarities or differences present.
4. A scatter diagram to explore the relationship between net sales and customer age.
Table 2.19
Customer | Type of Customer | Items | Net Sales | Method of Payment | Gender | Marital Status | Age |
1 | Regular | 1 | 39.50 | Discover | Male | Married | 32 |
2 | Promotional | 1 | 102.40 | Proprietary Card | Female | Married | 36 |
3 | Regular | 1 | 22.50 | Proprietary Card | Female | Married | 32 |
4 | Promotional | 5 | 100.40 | Proprietary Card | Female | Married | 28 |
5 | Regular | 2 | 54.00 | MasterCard | Female | Married | 34 |
6 | Regular | 1 | 44.50 | MasterCard | Female | Married | 44 |
7 | Promotional | 2 | 78.00 | Proprietary Card | Female | Married | 30 |
8 | Regular | 1 | 22.50 | Visa | Female | Married | 40 |
9 | Promotional | 2 | 56.52 | Proprietary Card | Female | Married | 46 |
10 | Regular | 1 | 44.50 | Proprietary Card | Female | Married | 36 |
11 | Regular | 1 | 29.50 | Proprietary Card | Female | Married | 48 |
12 | Promotional | 1 | 31.60 | Proprietary Card | Female | Married | 40 |
13 | Promotional | 9 | 160.40 | Visa | Female | Married | 40 |
14 | Promotional | 2 | 64.50 | Visa | Female | Married | 46 |
15 | Regular | 1 | 49.50 | Visa | Male | Single | 24 |
16 | Promotional | 2 | 71.40 | Proprietary Card | Male | Single | 36 |
17 | Promotional | 3 | 94.00 | Proprietary Card | Female | Single | 22 |
18 | Regular | 3 | 54.50 | Discover | Female | Married | 40 |
19 | Promotional | 2 | 38.50 | MasterCard | Female | Married | 32 |
20 | Promotional | 6 | 44.80 | Proprietary Card | Female | Married | 56 |
21 | Promotional | 1 | 31.60 | Proprietary Card | Female | Single | 28 |
22 | Promotional | 4 | 70.82 | Proprietary Card | Female | Married | 38 |
23 | Promotional | 7 | 266.00 | American Express | Female | Married | 50 |
24 | Regular | 2 | 74.00 | Proprietary Card | Female | Married | 42 |
25 | Promotional | 2 | 39.50 | Visa | Male | Married | 48 |
26 | Promotional | 1 | 30.02 | Proprietary Card | Female | Married | 60 |
27 | Regular | 1 | 44.50 | Proprietary Card | Female | Married | 54 |
28 | Promotional | 5 | 192.80 | Proprietary Card | Female | Single | 42 |
29 | Promotional | 3 | 71.20 | Proprietary Card | Female | Married | 32 |
30 | Promotional | 1 | 18.00 | Proprietary Card | Female | Married | 70 |
31 | Promotional | 2 | 63.20 | MasterCard | Female | Married | 28 |
32 | Regular | 1 | 75.00 | Proprietary Card | Female | Married | 52 |
33 | Promotional | 3 | 63.20 | Proprietary Card | Female | Married | 44 |
34 | Regular | 1 | 40.00 | Proprietary Card | Female | Married | 34 |
35 | Promotional | 5 | 105.50 | MasterCard | Female | Married | 56 |
36 | Regular | 1 | 29.50 | MasterCard | Male | Single | 36 |
37 | Regular | 2 | 102.50 | Visa | Female | Single | 42 |
38 | Promotional | 6 | 117.50 | Proprietary Card | Female | Married | 50 |
39 | Promotional | 5 | 13.23 | Proprietary Card | Female | Married | 44 |
40 | Regular | 2 | 52.50 | Proprietary Card | Female | Married | 58 |
41 | Promotional | 13 | 198.80 | Proprietary Card | Female | Married | 42 |
42 | Promotional | 4 | 19.50 | Visa | Female | Married | 46 |
43 | Regular | 2 | 123.50 | Proprietary Card | Female | Married | 48 |
44 | Promotional | 1 | 62.40 | Proprietary Card | Female | Married | 54 |
45 | Promotional | 2 | 23.80 | Proprietary Card | Female | Married | 38 |
46 | Promotional | 2 | 39.60 | Proprietary Card | Female | Married | 60 |
47 | Regular | 1 | 25.00 | MasterCard | Female | Married | 46 |
48 | Promotional | 3 | 63.64 | Proprietary Card | Female | Married | 30 |
49 | Promotional | 1 | 14.82 | Proprietary Card | Female | Married | 32 |
50 | Promotional | 9 | 145.20 | MasterCard | Female | Married | 46 |
51 | Promotional | 6 | 176.62 | Proprietary Card | Female | Married | 38 |
52 | Promotional | 5 | 118.80 | Proprietary Card | Male | Married | 68 |
53 | Regular | 1 | 58.00 | Discover | Female | Single | 78 |
54 | Regular | 2 | 74.00 | Visa | Female | Single | 20 |
55 | Regular | 2 | 49.50 | MasterCard | Female | Married | 32 |
56 | Promotional | 3 | 141.60 | Proprietary Card | Female | Married | 38 |
57 | Promotional | 6 | 123.10 | Proprietary Card | Female | Married | 54 |
58 | Promotional | 2 | 80.40 | Proprietary Card | Female | Married | 48 |
59 | Promotional | 4 | 65.20 | MasterCard | Female | Married | 46 |
60 | Promotional | 4 | 113.00 | Proprietary Card | Female | Single | 50 |
61 | Promotional | 1 | 108.80 | Proprietary Card | Female | Married | 46 |
62 | Promotional | 3 | 59.91 | Proprietary Card | Female | Single | 30 |
63 | Promotional | 5 | 53.60 | Proprietary Card | Female | Married | 54 |
64 | Promotional | 1 | 31.60 | Proprietary Card | Female | Single | 42 |
65 | Promotional | 2 | 49.50 | Proprietary Card | Female | Married | 48 |
66 | Promotional | 1 | 39.60 | Proprietary Card | Female | Married | 62 |
67 | Promotional | 2 | 59.50 | Proprietary Card | Female | Married | 34 |
68 | Promotional | 5 | 146.80 | Proprietary Card | Female | Married | 28 |
69 | Promotional | 2 | 47.20 | Proprietary Card | Male | Married | 46 |
70 | Promotional | 8 | 95.05 | Proprietary Card | Female | Married | 54 |
71 | Promotional | 5 | 155.32 | Proprietary Card | Female | Married | 30 |
72 | Promotional | 4 | 58.00 | MasterCard | Female | Married | 32 |
73 | Regular | 1 | 69.00 | Proprietary Card | Female | Single | 22 |
74 | Promotional | 2 | 46.50 | Proprietary Card | Female | Married | 32 |
75 | Promotional | 2 | 45.22 | Proprietary Card | Female | Married | 74 |
76 | Promotional | 4 | 84.74 | Proprietary Card | Female | Married | 62 |
77 | Regular | 2 | 39.00 | Proprietary Card | Female | Married | 42 |
78 | Promotional | 4 | 111.14 | Proprietary Card | Female | Married | 28 |
79 | Promotional | 3 | 86.80 | Proprietary Card | Female | Married | 38 |
80 | Regular | 2 | 89.00 | Discover | Female | Married | 54 |
81 | Promotional | 2 | 78.00 | MasterCard | Female | Married | 68 |
82 | Promotional | 6 | 53.20 | Proprietary Card | Female | Single | 30 |
83 | Promotional | 4 | 58.50 | Visa | Female | Married | 36 |
84 | Promotional | 3 | 46.00 | Proprietary Card | Female | Married | 44 |
85 | Regular | 2 | 37.50 | Visa | Female | Married | 44 |
86 | Promotional | 1 | 20.80 | Proprietary Card | Female | Married | 62 |
87 | Regular | 6 | 144.00 | MasterCard | Female | Single | 48 |
88 | Regular | 4 | 107.00 | Proprietary Card | Female | Married | 36 |
89 | Promotional | 1 | 31.60 | Proprietary Card | Female | Single | 20 |
90 | Promotional | 6 | 57.60 | Proprietary Card | Female | Married | 42 |
91 | Promotional | 4 | 95.20 | Proprietary Card | Female | Married | 54 |
92 | Promotional | 1 | 22.42 | Proprietary Card | Female | Married | 54 |
93 | Regular | 5 | 159.75 | Proprietary Card | Female | Married | 72 |
94 | Promotional | 17 | 229.50 | Proprietary Card | Female | Married | 30 |
95 | Regular | 3 | 66.00 | American Express | Female | Married | 46 |
96 | Regular | 1 | 39.50 | MasterCard | Female | Married | 44 |
97 | Promotional | 9 | 253.00 | Proprietary Card | Female | Married | 30 |
98 | Promotional | 10 | 287.59 | Proprietary Card | Female | Married | 52 |
99 | Promotional | 2 | 47.60 | Proprietary Card | Female | Married | 30 |
100 | Promotional | 1 | 28.44 | Proprietary Card | Female | Married | 44 |
Solution:
a)
b) The most Net sales was done by Propreiter card and least by American express card.
c) The promotion is successful because the net sales for promotional was 70 as compared to 30 for the regular costumer.
d) The correlation between age and net sales is = - 0.010636, Correlation between age and net sales is nearly zero we can say that there is no linear relationship between them.