Quantitative Analysis (MANM4103)
Management and Marketing - MGT
Semester: First Semester
Level: 400
Year: 2019
REPUBLIC OF CAMEROON THE UNIVERSITY OF BAMENDA
Peace -Work -Fatherland. P.O. BOX 39 Bambili
FACULTY OF ECONOMICS AND MANAGEMENT SCIENCES DEPARTMENT: ECONOMICS
FIRST SEMESTER EXAMINATIONS 2018/2019 ACADEMIC YEAR
Course Code & Title: ACCM4103
- Quantitative Methods
Credit Value: 5 Status: C
Course Lecturers:
Prof. Dobdinga Cletus
Time: 08:00 -10:00 Date: 5/03/2019
Venue: PBA07, PBA08 and PBA03
INSTRUCTION: ANSWER ALL QUESTIONS
Question one (20 marks)
Study the following contingency table showing the relationship between academic performance and behavior in school.
(NB: Critical Value = 9.488)
Academic performance
behavior in school
Bad
Good
Very Good
First Class
16
10
65
Second Class
9
31
20
Third Class
25
9
15
Using a 5 percent level of significance:
a) Test the hypotheses that there is no association between academic performance and behaviour in school. Show all
the necessary steps.
b) Calculate and interpret the phi coefficient.
Question two (10+15 = 25 marks)
a) A brewery distributes beer in bottles labeled 32 cl. The local bureau of weights and measures randomly selects 49 of
these bottles, measures their contents and obtains a sample mean of 30 cl. Assuming that the variance is 0.64cl. Is it
valid at the 5 percent level of significance to conclude that the brewery is cheating the consumers? (Critical value:
1.96)
Nonunion
Union
n = 13;
x
—
24.3;
S
=3.6
n = 9;
3c
= 23.3;
S =
1.8
Question three (25 marks)
A company produces two commodities Canned Apple (X) and Bottled juice (Y). X contributes 300 frs per unit and Y
contributes 200 frs. To produce X and Y the following resources are used:
b) In writing an anti-union article, a management consultant presents statistics that purportedly show non-union
masons are not as productive as their union counterparts. At the 0.05 significance level, use the data below to test the
consultant’s claim that the mean number of bricks set in one hour by non-union workers is different from the
corresponding mean for union masons. Assume equal variances. (NB: Critical value = 2.09)
Resources
X
Y
Maximum Available
Labour 3
2
100
Capital
1
1
40
Chemical 4
2
160
The quantity of X produced must not be more than 40, while the daily demand for Y is fixed at a minimum of 50 units.
i) Write the objective function and the constraints
ii) Represent the information graphically and determine the optimal output of X and Y and hence the maximum profit.
iii) Identify the redundant and unbinding constraint(s) if any
iv) Determine the dual prices for the binding constraints
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