Quantitative Methods (ACCM4103)

BSc. Accounting - ACC

Semester: First Semester

Level: 400

Year: 2019

Answers (200 )
REPUBLIC OF CAMEROON THE UNIVERSITY OF BAMENDA
Peace — Work — Fatherland P.O- BOZK: 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 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)
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)
Nonunion
Union
n = 13;
= 24.3; S =3.6 n = 9;
= 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:
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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