Page 1
E
MANAGEMENT PROGRAIIIME
Term-End Examination
June, 2OO7
MS-B : OUANTITATIVE ANALYSIS FOR
MANAG ERIAL APPLICATIONS
Time : 3 hours
Maximum Marks : 700
(Weightage 700/0)
Nofe 3
ti) Secfion A hos six
questions, each carrying
15 morks. Attempt any
four
questions
from
this
section.
(ii) Section B is compulsory and carries 40 marks.
4ttempt both questions.
(iii) Sfofis tical table.s moy be tuppli"i,d on request.
SECTION A
1. What* are models ? Discuss the role of models in
dwision-rnaking. How can you classifu models on the basis
of behaviour characteristics ?
:' :
:
1
M S B
D T T T
| . t . u r .
Page 2
2.
In a frequency distribution, the coefficient of skewness
(given by Bowley) based upon the quartiles is 0.6. If the sum
of the upper and lower quartiles is 100 and median is 38,
find the value of the upper and lower quartiles.
X is a normal variate with mean 30 and standard deviation
5. Find the probabilities that
2 6 < X < 4 0
x > 4 5
The means of two single large samples of 1000 and 2000
members are 67'5 inches and 68.0 inches respectively.
Can the samples be regarded as drawn from the same
population of standard deviation 2.5 inches ? (Test at 5o/o
level of significance)
The following table gives the number of aircraft accidents
that occurred during the various days of the week. Test
whether the accidents are uniformly distributed over the
week.
Days
Mon
Tue
Wed Thurs
Fri
Sat
Accidents
L4
18
L2
1 1
15
14
3.
(i)
(ii)
4.
5.
Given the values of test
are respectively 11.07
,
of significance.
MS-B
statistic significant at 5,
12'59 and L4.07 at the
2
6, 7 d.f.
5o/o level
Page 3
6. Write short notes on any three of the following :
(a) Absolute value function
(b)
Quantiles
(c)
Criteria of pessimism in decision theory
(d) Cluster vs. Stratum
(e) Moving average models
MS-B
P.T.O.
Page 4
SECTION B
7 . Two dice, one green and the other red are
thrown. Let A
be the event that the sum of the
points on the faces shown
is odd, and B the event of at least one ace
(number 1).
Find the probabilities of the events
( i ) A u B
( i i ) A n B
(iii) A u B
(iv) (A u B)
( v ) A u ( A n B )
8. The following is the heights of fathers
(X), in inches and
their sons (Y) :
X
65
66
67
67
68
69
70
72
Y
67
68
65
68
72
72
69
71
Obtain the equation of the line of regression
of X on Y.
Also find estirnate of X for Y
:
7 0.
MS-B
9,000
Hosted by www.Geocities.ws

1