I need help with Quantitive methods (STAT201)

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

___________________________________________________________________
Quantitative Methods (STAT-201)
Assignment 3: Excel QM (Social-Responsible)
2nd Semester, 1446 (2024-2025)

Student’s Name
Student’s ID
Section/CRN
Branch

Marking Scheme
Question

Score

Q-1

2

Q-2

2

Q-3

2

Q-4

2

Obtained Score

Note: You are required to fill your full name, ID, and CRN.
Message: Social responsibility is a framework of ethics in which an individual collaborates and
works with other organizations and individuals for the betterment of the community. There are
numerous ways in which an organization can exhibit social responsibility; for instance, by
promoting volunteerism, facilitating donations, employing ethical employment practices, and
implementing environmental improvements. It introduces the subjective obligation that entails
maintaining a delicate equilibrium between one’s ecosystem and the economy, as well as the
potential compromises that may be made between economic progress and societal and
environmental wellbeing. This transcends business organizations and affects all individuals
whose actions influence the environment.

Restricted – ‫مقيد‬

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

Solve the following questions using Excel QM.
(2×4 = 8 marks)
1. Helping others through blood donation is a form of social solidarity or social responsibility. The
blood donors cite a sense of social responsibility as their reason for donating blood, and as a result,
the communities value and reward this activity. The following table shows the number of blood
donors in a university from 2011–2023. Develop a 3-year moving average forecast and obtain the
related statistical measures using excel QM.

Solution:

Restricted – ‫مقيد‬

year

Blood Donors

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024

116
105
146
159
108
194
227
219
234
224
248
253
265
311

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

2. University X has a unique on-campus dispensary that provides medical
care. On a typical working day, patients arrive at the dispensary at an average rate of 2 patients
per hour. There is one single nurse at the dispensary, and the average time required to give a
consultation is 12 minutes.
It is assumed that the service times can be described by the exponential distribution, and the
arrival process by a Poisson distribution. You are requested to find:
a. The average time in line,
b. The average number of patients in line,
c. The average time in the system,
d. The average number of patients in the system,
e. The probability that the dispensary is empty,
f. The utilization factor of the system.
Solution:

Restricted – ‫مقيد‬

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

3. Assume that you are a statistical consultant and want to provide a
volunteer consultation to a start-up company as a social responsibility consultation. The
company is planning to purchase a uniform outfit for their employees, and they obtained the
following quantity discount table with three discount options:
DISCOUNT NUMBER

DISCOUNT QUANTITY

DISCOUNT COST (SAR)

1

0 to 49

100

2

50 to 99

90

3

100 and over

85

Annual demand is 400 outfits, ordering cost is 50, and holding cost is 25% of the cost of the
outfit. Use Excel QM to find the discount option with the minimum total cost.
Solution:

Restricted – ‫مقيد‬

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies
4. To help needy people through charity is a form of social responsibility. The act of
doing charity to help others is recognized and rewarded by all communities of the society. The
following table shows the amount collected through charity and the amount spent on social
development (in million dollars) in the last 8 years. Find the correlation and coefficient of determination
for the given data and obtain the related statistical measures using excel QM.
Year
1
2
3
4
5
6
7
8

Solution:

Restricted – ‫مقيد‬

Amount collected(y)
18
14
12
15
10
8
9
6

Amount spent(x)
15
10
9
12
5
4
6
3

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

___________________________________________________________________
Quantitative Methods (STAT-201)
Assignment 3: Excel QM (Social-Responsible)
2nd Semester, 1444-1445 (2023-2024)
Due date: 06 May 2024 (Time: 11:00 PM)

Student’s Name

KBS LEGEND

Student’s ID

THE LEGEND

Section/CRN
Location

Marking Scheme
Question

Score

Q-1

2

Q-2

2

Q-3

2

Q-4

2

Obtained Score

Note: You are required to fill your full name, ID, and CRN.
Message: Social responsibility is a framework of ethics in which an individual collaborates and
works with other organizations and individuals for the betterment of the community. There are
numerous ways in which an organization can exhibit social responsibility; for instance, by
promoting volunteerism, facilitating donations, employing ethical employment practices, and
implementing environmental improvements. It introduces the subjective obligation that entails
maintaining a delicate equilibrium between one’s ecosystem and the economy, as well as the
potential compromises that may be made between economic progress and societal and
environmental wellbeing. This transcends business organizations and affects all individuals
whose actions influence the environment.

Restricted – ‫مقيد‬

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

Solve the following questions using Excel QM.

(2×4 = 8 marks)

1. Helping others through blood donation is a form of social solidarity or social responsibility. The
blood donors cite a sense of social responsibility as their reason for donating blood, and as a result,
the communities value and reward this activity. The following table shows the number of blood
donors in a university from 2011–2023. Develop a 3-year moving average forecast and obtain the
related statistical measures using excel QM.

Solution:

Restricted – ‫مقيد‬

year

Blood Donors

2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024

116
105
146
159
108
194
227
219
234
224
248
253
265
311

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

2. University X has a unique on-campus dispensary that provides medical care. On a typical
working day, patients arrive at the dispensary at an average rate of 2 patients per hour. There
is one single nurse at the dispensary, and the average time required to give a consultation is 12
minutes.
It is assumed that the service times can be described by the exponential distribution, and the
arrival process by a Poisson distribution. You are requested to find:
a. The average time in line,
b. The average number of patients in line,
c. The average time in the system,
d. The average number of patients in the system,
e. The probability that the dispensary is empty,
f. The utilization factor of the system.
Solution:

Restricted – ‫مقيد‬

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

Restricted – ‫مقيد‬

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies

3. Assume that you are a statistical consultant and want to provide a volunteer consultation to a
start-up company as a social responsibility consultation. The company is planning to
purchase a uniform outfit for their employees, and they obtained the following quantity
discount table with three discount options:
DISCOUNT NUMBER

DISCOUNT QUANTITY

DISCOUNT COST (SAR)

1

0 to 49

100

2

50 to 99

90

3

100 and over

85

Annual demand is 400 outfits, ordering cost is 50, and holding cost is 25% of the cost of the
outfit. Use Excel QM to find the discount option with the minimum total cost.
Solution:

Restricted – ‫مقيد‬

Ministry of Education
Saudi Electronic University
College of Science & Theoretical Studies
4. To help needy people through charity is a form of social responsibility. The act of
doing charity to help others is recognized and rewarded by all communities of the society. The
following table shows the amount collected through charity and the amount spent on social
development (in million dollars) in the last 8 years. Find the correlation and coefficient of determination
for the given data and obtain the related statistical measures using excel QM.
Year
1
2
3
4
5
6
7
8

Solution:

Restricted – ‫مقيد‬

Amount collected(y)
18
14
12
15
10
8
9
6

Amount spent(x)
15
10
9
12
5
4
6
3

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