PelicanStores_Practice Exam
xlsx
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School
Northern Alberta Institute of Technology *
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Course
STAT3010
Subject
Statistics
Date
Apr 3, 2024
Type
xlsx
Pages
12
Uploaded by GeneralGoldfinch3917
Items
Net Sales
Gender
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 ExpressFemale
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
Custome
r
Type of Customer
Method of Payment
Marital Status
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
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1
2
3
4
(8 Points) Describe the variables in the data. Think of explaining it to your
Type your answer below:
Questions 1 – 4 (34 Points) are related to the “Data” Worksheet in th
The data was collected from a sample of 93 customer transactions. You need to place all your answers right under each question below, (10 Points) Explain the variable net sales by discussing (4 Points) its distribution (4 Points) and numerical measures (2 Points). Use appropriate statistical tools that should be the most effective in this explanation. Show your work within the stipulated space beside this box.
Use
4-5 bullet points
to make your discussion precise and concise. Type your discussion below:
Start by creating a histogram to visualize the distribution.
Use a box plot to check for outliers and understand spread.
Calculate skewness and kurtosis to assess the shape of the distribution.
Compute the mean, median, standard deviation, and range for numerical measures.
(3 Points) Develop using a contingency table with variables age and gender. Show
(3 Points) In 2-3 bullet points,
what can you conclude regarding the relationship
Most customers fall into the age groups between 30 and 49, with the 30-3
Among these age groups, females are the dominant gender.
The youngest customers (under 30) and the oldest customer group (60+) While gender distribution varies across age groups, it's clear that more fe
This information can help in tailoring marketing strategies and product off
(10 Points) Find out if age has any impact on sales by using the appropriate statis
(5 Points), and discuss the strength of the relationship (i.e., is this strong or weak
work within the stipulated space beside this box.
(3 Points) In 1-2 bullet points,
what can you conclude that provides the PelicanS
management can use to set their sales strategy? Type your discussion below:
Varible Net Sales
Five-number summary
Mean
Minimum
Err:508
Median
1st quartile
Err:508
Mode
Median
Err:508
Range
3rd quartile
Err:508
Standard Deviation
Maximum
Err:508
Coefficient of variation
Skewness
Differentials
Kurtosis
up to Q1
0.00
Q1 to Q2
0.00
Q2 to Q3
0.00
Bottom Whisker
0.00
Top Whisker
0.00
r supervisor who does not like to raw numbers, but would like to clearly know what the raw data
he “PelicanStores” Excel file. so copy and paste your work from the Excel file here. w your work within the stipulated space beside this box.
p you see between the two? Type your discussion below:
39 age group having the highest representation.
have fewer representatives. In the 60+ age group, there is only one male customer.
emales make purchases in all age categories, indicating that the store may attract a predominant
fferings to the store's primary customer demographic.
stical concept k). Show your tores
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a tells. Use 4-5 bullet points
and make your discussion precise and concise.
tly female customer base.
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Binomial Distribution:
The binomial distribution models the number of successes (usually deno
It is used for discrete data, where each trial is independent and has the The probability mass function for the binomial distribution is given by: P(
Common examples include the number of heads obtained in a se
Poisson Distribution:
The Poisson distribution models the number of events that occur in a fix
It is used for rare events where the average rate of occurrence is known
The probability mass function for the Poisson distribution is given by: P(X
Examples include the number of customer arrivals at a store in a
Exponential Distribution:
The exponential distribution models the time between successive events
It is used for continuous data and is often used to model waiting times o
The probability density function for the exponential distribution is given Examples include the time between arrivals of customers at a se
Normal Distribution (Gaussian Distribution):
The normal distribution is a continuous, symmetric, and bell-shaped dist
It is characterized by its mean (μ) and standard deviation (σ) and is ofte
The probability density function for the normal distribution is given by: f(
Examples include the distribution of heights, weights, or IQ scor
oted as "k") in a fixed number of trials ("n") with two possible outcomes (succe
same probability of success.
(X = k) = (n choose k) * p^k * (1-p)^(n-k).
eries of coin flips (success = heads, failure = tails) or the number of d
xed interval of time or space.
n and constant.
X = k) = (e^(-λ) * λ^k) / k!, where λ is the average rate of occurrence.
an hour or the number of emails received in a day.
s in a Poisson process (events occur independently at a constant average rate
or lifetimes.
by: f(x|λ) = λ * e^(-λx), where λ is the rate parameter.
ervice center or the lifespan of electronic components.
tribution.
en used to model data that clusters around a central value.
(x|μ,σ) = (1 / (σ√(2π))) * e^(-(x-μ)^2 / (2σ^2)).
res in a population.
ess and failure).
defective items in a batch of products.
e).
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