Answered: Heavenly Chocolates manufactures and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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CAsE prOBLEM 4: hEAVENLy ChOCOLATEs WEBsiTE TrANsACTiONs

Heavenly Chocolates manufactures and sells quality chocolate products at its plant and retail store located in Saratoga Springs, New York. Two years ago the company developed a website and began selling its products over the Internet. Website sales have exceeded the company’s expectations, and management is now considering strategies to increase sales even further. To learn more about the website customers, a sample of 50 Heavenly Chocolate transactions was selected from the previous month’s sales. Data showing the day of the week each transaction was made, the type of browser the customer used, the time spent on the website, the number of website pages viewed, and the amount spent by each of the 50 customers are contained in the file HeavenlyChocolates. A portion of the data are shown in Table 3.12.

Heavenly Chocolates would like to use the sample data to determine if online shoppers who spend more time and view more pages also spend more money during their visit to the website. The company would also like to investigate the effect that the day of the week and the type of browser have on sales.

Managerial Report

Use the methods of descriptive statistics to learn about the customers who visit the Heavenly Chocolate website. Include the following in your report.

1. Graphical and numerical summaries for the length of time the shopper spends on the website, the number of pages viewed, and the mean amount spent per transaction

Customer Day Browser Time (min) Pages ViewedI Amount Spent ($)
2.
1
Mon Chrome
12.0
4
54.52
3
Wed Other
19.5
94.90
4
3
Mon Chrome
8.5
4
26.68
4
Tue Firefox
11.4
2.
44.73
5
Wed Chrome
11.3
4
66.27
7
6.
Sat Firefox
10.5
6
67.80
8
7
Sun Chrome
11.4
2
36.04
9
8
Fri Firefox
4.3
55.96
10
9.
Wed Firefox
12.7
3
70.94
11
10
Tue Chrome
24.7
7
68.73
12
11
Sat Other
13.3
6.
54.04
13
12
Sun Firefox
14.3
5
48.05
14
13
Sun Other
11.7
7
64.16
15
14
Mon Firefox
24.4
10
158,51
16
15
Fri Chrome
8.4
84.12
17
16
Thu Chrom
9.6
4
59.20
18
17
Thu Chrome
23.3
7
91.62
19
18
Mon Chrome
14.0
7
126,40
20
19
Fri Other
5.6
4
68.45
21
20
Wed Chrome
15.1
32.69
22
21
Sat Firefox
16.3
5
78.58
23
22
Tue Chrome
10.2
6.
74.43
24
23
Sun Chrome
8.0
32.73
25
24
Tue Firefox
8.0
2
48.66
26
25
Fri Firefox
9.6
54.66
27
26
Wed Chrome
11.0
40.54
28
27
Sat Chrome
16.9
5
34.69
29
28
Sat Firefox
6.0
4
27.91
30
29
Fri Firefox
32.9
10
155,30
31
30
Mon Other
11.8
9.
120.25
32
31
Thu Chrome
7.1
41.20
33
32
Fri Firefox
18.0
8.
134.40
34
33
Sun Chrome
11.8
4
37.17
35
34
Fri Chrome
9.1
3
52.09
36
35
Tue Chrome
7.8
5
71.81
37
36
Mon Firefox
16.5
5
59.99
38
37
Thu Firefox
6.2
4
84.17
39
38
Sat Chrome
11.3
4
55.58
40
39
Tue Chrome
10.6
39.06
41
40
Wed Chrome
5.0
5
36.48
42
41
Tue Other
15.9
4
67.44
43
42
Sat Chrome
18.1
7
60.14
44
43
Fri Firefox
10.8
4
70.38
45
44
Mon Chrome
13.3
7
110,65
46
45
Mon Chrome
30.1
6.
104.23
47
46
Fri Firefox
13.7
4
68.17
48
47
Thu Chrome
8.1
2.
17.84
49
48
Fri Chrome
9.7
5
103.15
50
49
Mon Other
7.3
6.
52.15
51
50
Fri Chrome
13.4
3
98.75

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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