Thursday, November 26, 2015
Total No. of Questions: 15
MBA/MBA (IB)
(Sem.-1st)
QUANTITATIVE
TECHNIQUES
SUBJECT CODE:
MB-104 (Batch-2012)
Paper ID:
[C0104]
Time: 3 Hrs. Max.
Marks: 60
Instruction to Candidates:
1.
Section-A contains six questions
carrying Five marks each and students has to attempt any Four questions.
2. Section-B
consists of Four Subsections: Unit-I, II, III, IV. Each Subsection contains Two
questions each carrying Eight marks each and student has to attempt any One
question from each Subsection.
3. Section-B
is Compulsory and consist and consist of One Case Study carrying Eight marks.
SECTION-A
1.
Discuss the significance of measures of
dispersion.
2.
Differentiate between probabilistic and
non-probabilistic sampling.
3.
Discuss the steps in Hypothesis Testing.
4.
What are the properties of the
correlation coefficient? How is it related to the regressional coefficient?
5.
Explain the relevance of selection Base
Period in Index Numbers. Comment on the
components of Time Series Analysis.
6.
Discuss the additive and multiplicative
laws of probability. Further explain the Baye’s Theorem of Probability.
SECTION-B
UNIT-I
7.
(a) Discuss the applications of
statistics in Business Research.
(b)
Explain the different sources of collection of data with examples.
OR
8.
A prospective buyer tests bursting
pressure of samples of polythene bags received from two manufacturers A and B.
The tests reveal the following results.
Which manufacturer’s bags have the higher average bursting pressure? Which
of them is more uniform in bursting pressure?
|
Bursting
Pressure
|
5-10
|
10-15
|
15-20
|
20-25
|
25-30
|
|
Number of Bags
of Type A
|
2
|
9
|
29
|
54
|
6
|
|
Number of Bags
of Type B
|
9
|
15
|
30
|
32
|
14
|
UNIT-II
9.
The HRD manager wishes to see if there
is any significant utility of a training program in the ability of trainees in
his company. The trainees take aptitude tests before and after the training
program. The scores recorded are
provided below and on the basis of that, can be manager conclude whether the
program has been useful or not? (Assume 5% significance level)
|
Trainee
|
A
|
B
|
C
|
D
|
E
|
F
|
G
|
H
|
I
|
|
Score Before
Training
|
75
|
70
|
46
|
68
|
68
|
43
|
55
|
68
|
77
|
|
Score After
Training
|
70
|
77
|
57
|
60
|
79
|
64
|
55
|
77
|
76
|
OR
10.
The following represents the number of
units of production per day turned by four different workers using five different
machines. On the basis of the information, can it be concluded that.
(a) The
mean productivity is the same for different machines.
(b) The
workers do not differ with regard to productivity.
|
|
|
|||||
|
Worker
|
A
|
B
|
C
|
D
|
E
|
Total
|
|
1
|
4
|
5
|
3
|
7
|
6
|
25
|
|
2
|
5
|
7
|
7
|
4
|
5
|
28
|
|
3
|
7
|
6
|
7
|
8
|
8
|
36
|
|
4
|
3
|
5
|
4
|
8
|
2
|
22
|
|
Total
|
19
|
23
|
21
|
27
|
21
|
111
|
UNIT-III
11.
(a) Discuss the uses of significance of
regressional coefficient.
(b) What
are index numbers and how are they useful in business management? Discuss the
various types of Index numbers.
OR
12.
A company wants to assess the impact
of R & D expenditure on annual
profits. The following table gives the
information for last 8 years. On the
basis of this data, estimate the regression equation and thereby predict the
annual profit for the year 2012 for an allocated sum of Rs. 15,000 as R & D
expenditure.
|
Year
|
R & D
expenditure (‘000 Rs.)
|
Annual Profits
(‘000 Rs.)
|
|
2004
|
9
|
45
|
|
2005
|
7
|
42
|
|
2006
|
5
|
41
|
|
2007
|
10
|
60
|
|
2008
|
4
|
30
|
|
2009
|
5
|
34
|
|
2010
|
3
|
25
|
|
2010
|
2
|
20
|
UNIT-IV
13.
(a) Discuss the importance of Time
Series Analysis.
(b) What
are various components and methods of Time Series analysis?
OR
14.
A
random sample of n=25 was selected from a normally distributed population. The population mean in 106 and standard
deviation is 12.
(a) Find
the standard error of the sampling distribution.
(b) What
is the probability that the sample mean is greater than 100?
(c) What
is the probability that the sample mean will be 
4 from the population mean?
4 from the population mean?
SECTION-C
CASE ANALYSIS
15.
H.L.L India Ltd. is manufacturing a new
cosmetic powder for the Indian market.
It is specially designed for the North Indian market where the moisture
content (humidity) is usually quite high in summer months. The company has decided to conduct experiments
so as to determine the moisture content in the powder, and therefore 6
consignments have been taken as samples.
Four experiments are to be conducted after taking a sample from each of
the 6 consignments. Four observers have
been appointed for the task and their assessments were found to be as follows:
|
Observers
|
Consignments
|
|||||
|
1
|
2
|
3
|
4
|
5
|
6
|
|
|
A
|
9
|
10
|
9
|
10
|
11
|
11
|
|
B
|
12
|
11
|
9
|
11
|
10
|
10
|
|
C
|
11
|
10
|
10
|
12
|
11
|
10
|
|
D
|
12
|
13
|
11
|
14
|
12
|
10
|
You
are a manager are required to analyze the given data, and determine & subsequently
discuss as to whether.
(a) The
six consignments differ with respect to their moisture content.
(b) The
inspection results of the four observers are at variance with reference to each
other.
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