Course Title
Semester
Duration
Assessment
Student ID
Student Name
MATHEMATICS II
Course Code
Faculty
Date
Weightage
FALL 2023
1 hour
Class Test 1
MAT1105
Dr Madiha Rashid
25/10/2023
20%
INSTRUCTIONS:
1. Answer all the questions.
2. The paper will be canceled, if you are found talking, cheating or committing any malpractice in
the examination hall.
3. You can carry a scientific calculator.
4. Mobile Phones, Smart Watches are strictly not allowed in the examination hall.
5. The exam will be performed using EXCEL – DATA ANALYSIS tool, then provide your answers
on the question paper (in case you need more space, use the backside of the paper).
6. Marks for each question is mentioned against them.
Create an Excel file and word document on desktop by student ID & first name & date & STAT.
(For example: 17170 – Ali -15 – Nov – STAT) then use this folder to save a screen of Excel – Data
Analysis results for the question.
Assessment Course Learning Outcomes:
CLO1 Demonstrate an understanding of various concepts and principles of probability
distribution and quantitative techniques.
CLO3. Analyze the result using quantitative technique methods
QF emirates
strand
Skills
Knowledge
Sub strand
Mathematical skills
(S3.2)
Critical Thinking
Skills(S3.1)
Applied
Knowledge(k4.2)
Professional
competence (CAR1)
Total
Order of
CLOs
Q. No
Marks
CLO1
1
5
CLO3
2
5
CLO1
3
5
CLO3
4
5
20
Marks
Scored
Q.1
Compute Laspeyre’s ,Paasche’s and Fishers Ideal Index numbers from the following data using
quantitative techniques.
(5 marks)
Items
Bread
Potatoes
Carrots
Swede
Cabbage
Soup
Cake
Jam
Tea
Coffee
Q.2
(5 marks)
Base Year(2011)
Price
Quantity
25
4
8
6
21
2
35
1
45
1
18
5
53
2
40
1
23
3
58
2
Current Year(2022)
Price
Quantity
29
4
10
9
22
3
40
1
55
1
25
5
78
1
56
1
29
4
60
3
A quality characteristic of interest for a tea-bag-filling process is the weight of the tea in the individual
bags. If the bags are under filled, two problems arise. First, customers may not be able to brew the
tea to be as strong as they wish. Second, the company may be in violation of the truth-in-labeling
laws. For this product, the label weight on the package indicates that, on average, there are 5.5 grams
of tea in a bag. If the mean amount of tea in a bag exceeds the label weight, the company is giving
away product. Getting an exact amount of tea in a bag is problematic because of variation in the
temperature and humidity inside the factory, differences in the density of the tea, and the extremely
fast filling operation of the machine (approximately 170 bags per minute).
The file Teabags contains these weights, in grams, of a sample of 50 tea bags produced in one hour
by a single machine:
a. Compute the mean, median, first quartile, and third quartile.
b. Compute the range, interquartile range, variance, standard deviation, and coefficient of variation.
c. Interpret the measures of central tendency and variation within
the context of this problem. Why should the company producing the tea bags be concerned about
the central tendency and variation?
d. Construct a distribution curve. Are the data skewed? If so, how?
e. Is the company meeting the requirement set forth on the label that,
on average, there are 5.5 grams of tea in a bag? If you were in
charge of this process, what changes, if any, would you try to make
concerning the distribution of weights in the individual bags?
Q.3
(5 marks)
Q.4
(5 marks)
Do Generation X and Boomers differ in how they use credit cards? A sample of 1,000 Generation X
and 1,000 Boomers revealed the following results:
The following table summarizes the results:
If a respondent is selected at random, what is the probability that
he or she
a. pays the full amount each month?
b. is a Generation X and pays the full amount each month?
c. is a Generation X or pays the full amount each month?
d. Explain the difference in the results of (b) and (c).
You plan to invest $1,000 in a corporate bond fund or in a common stock fund. The following table
presents the annual return (per $1,000) of each of these investments under various economic
conditions and the probability that each of those economic conditions will occur:
Compute the
a. expected return for the corporate bond fund and for the common
stock fund.
b. standard deviation for the corporate bond fund and for the
common stock fund.
c. Would you invest in the corporate bond fund or the common
stock fund? Explain.
d. If you chose to invest in the common stock fund in (c), what do
you think about the possibility of losing $999 of every $1,000
invested if there is an extreme recession?