Roll No………
Total No. of
Questions: 05
MBA
(Sem.-1st)
QUANTITATIVE
TECHNIQUES
Subject
Code: MBA-104
Paper
ID: [C0104]
Time: 3 Hrs. Max.
Marks: 60
Instructions to Candidate:
2. Attempt any four questions in all from Section-B.
Selecting One question from each unit.
3. Section-B is compulsory.
SECTION-A
(4 X 5=20)
Q1.
(a) Discuss the importance of Coefficient of Variance in
Management Analysis.
(b) Explain the various steps in testing of hypothesis.
(c) Discuss the test of significance for small sample.
(d) What are index numbers? How are they used in
analysis of data?
(e) List the components of time series analysis?
(f) What is the role of random variables in management
analysis?
SECTION-B
UNIT-I
(4 X 8=32)
Q2.
(a) Discuss the role of statistical analysis in
managerial decision making.
(b) Explain the primary & secondary sources of
collection of data.
OR
A purchasing agent obtained samples of lamps from 2
suppliers. He had the samples tested in
his own laboratory for the length of life of lamps with the following
results. Which supplier’s lamps are more
uniform with respect to length of lives?
Life
of bulbs in hours
|
700-900 hrs.
|
900-1100
hrs.
|
1100-1300
hrs.
|
1300-1500hrs.
|
Supplier
A
|
10
|
16
|
26
|
8
|
Supplier
B
|
3
|
42
|
12
|
3
|
UNIT-II
Q3. An automobile manufacturer tabulates the following
information about age groups and the Liking for a particular model of the
car which it plans to introduce. On the basis of this data. Can it be
concluded that the car model appeal is independent of the age group?
(Given for v=3.x2=7.815)
Age
Group ( in years)
|
|||||||
Below 20
|
20-30
|
30-40
|
40-50
|
Total
|
|
||
Persons Who
|
Liked the
car
|
140
|
80
|
40
|
20
|
280
|
|
Disliked the
car
|
60
|
50
|
30
|
80
|
220
|
||
|
Total
|
200
|
130
|
70
|
100
|
500
|
OR
The Sales data of an item in 6 shops
before and after a special promotional campaign is as under. Can the campaign be judged to be a success?
(Given for v=5, t=2.02)
Shops
|
A
|
B
|
C
|
D
|
E
|
F
|
Sales Before
campaign
|
53
|
28
|
31
|
48
|
50
|
42
|
Sales After
campaign
|
58
|
29
|
30
|
55
|
56
|
45
|
UNIT-III
Q4.
(a) Discuss the uses and significances of index numbers?
Further discuss the methods of construction of different Index numbers?
(b) What is standard error in regression analysis?
OR
The following table gives the age of cars of a
certain make and annual maintenance costs.
Obtain the regression equation for costs related to age. Also find out the maintenance cost Of a car
whose age is 12 years old.
Age of Cars (in years)
|
2
|
4
|
6
|
8
|
Maintenance Cost (in thousand Rs.)
|
10
|
20
|
25
|
30
|
UNIT-IV
Q5. Discuss the utility of Time Series Analysis
managerial analysis decision. Also discuss its Various components and methods.
OR
The
income distribution of officers of a certain company was found to follow normal
Distribution. The average income of an officer was Rs.15,000. The standard deviation of the Income of
officers was Rs. 5,000. If there were
242 officers drawing salary above Rs. 18,500.
How many officers were there in the company?
SECTION-C
CASE ANALYSIS
Q6. A departmental store gives in service
training to its salesmen. Which is
followed by a test. The store management
is considering whether it should terminate the services of any salesmen who
does not do well in the test. The
following data gives the test scores and sales made by the nine salesmen during
a certain period. You as a manager are required to analyze the given data, and
determine whether there is any associations between the test scores and
sales. Subsequently discuss as to
whether, the termination of services of low test scoring employees is
justified? Also determine if the store management wants a minimum sales volume
of Rs. 30,000. What should be the minimum test scores the shall ensure
continuation of service? Further estimate the most probable sales volume of a
salesman who has scored a test score of 28.
Test scores
|
14
|
19
|
24
|
21
|
26
|
22
|
15
|
20
|
19
|
Sales (in
‘000Rs.)
|
31
|
36
|
48
|
37
|
50
|
45
|
33
|
41
|
39
|
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