# Download GTU MBA 2018 Winter 1st Sem 810007 Quantitative Analysis Qa Question Paper

Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 1 ? EXAMINATION ? WINTER 2018

Subject Code: 810007 Date:01/01/2019
Subject Name: Quantitative Analysis (QA)
Time: 10:30 AM To 01:30 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Compute Mean and Standard Deviation from following table.

Class 0-20 20-40 40-60 60-80 80-100
Frequency 32 16 13 10 19
07
(b) Explain usefulness of coefficient of variation and compare the following two sets
of data for consistency.

Data set I Data set II
49 159
82 121
77 138
54 152

07

Q.2 (a) Five students of an engineering program at certain institute were selected at
random. Their Intelligent Quotient (I.Q.) and the marks obtained by them in one
paper were as given below. Calculate coefficient of correlation

I.Q Marks (Out of 100)
120 85
110 80
130 90
115 88
125 92
120 87

07
(b) In a society there are two clubs. 60% members of the society are members of club
A and 29% members of the society are member of club B while 13% members of
the society are member of both clubs. Suppose if one society member is selected
at random,
(i) What is the probability that he is member of club A or club B?
(ii) What is the probability that he is neither member of club A nor club B?
(iii) What is the probability that he is not the member of club A but member of
club B?
07
OR
(b) What is time series analysis and discuss the components of time series. 07

Q.3 (a) According to Cellular Telecommunication Industry Association, the average local
monthly cell phone bill is \$42.78. Suppose local monthly cell phone bills are
normally distributed, with a standard deviation of \$11.35.
(i)What is the probability that a randomly selected cell phone bill is more than
\$67.75?
(ii)What is the probability that a randomly selected cell phone bill is between \$30
and \$50?
(iii)What is the probability that a randomly selected cell phone bill is not more
than \$25
07
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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 1 ? EXAMINATION ? WINTER 2018

Subject Code: 810007 Date:01/01/2019
Subject Name: Quantitative Analysis (QA)
Time: 10:30 AM To 01:30 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Compute Mean and Standard Deviation from following table.

Class 0-20 20-40 40-60 60-80 80-100
Frequency 32 16 13 10 19
07
(b) Explain usefulness of coefficient of variation and compare the following two sets
of data for consistency.

Data set I Data set II
49 159
82 121
77 138
54 152

07

Q.2 (a) Five students of an engineering program at certain institute were selected at
random. Their Intelligent Quotient (I.Q.) and the marks obtained by them in one
paper were as given below. Calculate coefficient of correlation

I.Q Marks (Out of 100)
120 85
110 80
130 90
115 88
125 92
120 87

07
(b) In a society there are two clubs. 60% members of the society are members of club
A and 29% members of the society are member of club B while 13% members of
the society are member of both clubs. Suppose if one society member is selected
at random,
(i) What is the probability that he is member of club A or club B?
(ii) What is the probability that he is neither member of club A nor club B?
(iii) What is the probability that he is not the member of club A but member of
club B?
07
OR
(b) What is time series analysis and discuss the components of time series. 07

Q.3 (a) According to Cellular Telecommunication Industry Association, the average local
monthly cell phone bill is \$42.78. Suppose local monthly cell phone bills are
normally distributed, with a standard deviation of \$11.35.
(i)What is the probability that a randomly selected cell phone bill is more than
\$67.75?
(ii)What is the probability that a randomly selected cell phone bill is between \$30
and \$50?
(iii)What is the probability that a randomly selected cell phone bill is not more
than \$25
07
Page 2 of 3

(b) Perform One Way ANOVA for following data, [Take level of significance = 0.05]

1 2 3 4
113 120 132 122
121 127 130 118
117 125 129 125
110 129 135 125

07
OR
Q.3 (a) Using the following data to obtain the equation of regression line.

07
(b) What is decision theory? Explain in detail various decision making methods under
uncertainty.
07

Q.4 (a) Two different samples are taken from two different normally distributed
populations. Test the following hypothesis of the difference in population means
by using the following data. [Take level of significance = 0.10]

H 0: ? 1- ? 2 = 0 H 1: ? 1- ? 2 < 0

Sample 1 Sample 2
_ _
x 1 = 51.3 2 x 2 = 53.2
S 1
2
= 52 S 2
2
= 60
n 1 = 31 n 2 = 32

07
(b) What is Index numbers and discuss the types of Index numbers in detail. 07
OR
Q.4 (a) From the following table check if the Variable 1 is independent of Variable 2 by
using Chi- square test of independence. Take ? = 0.01.

07
(b) An index consists of five items. The base period for the index is March 2012. The
table provides details of these items over a period of time and the quantity
consumed by a family. Construct Laspeyre quantity index.

Item Quantity in
2012
Quantity in
2017
Price per unit
in 2012
1 4 8 100
2 5 12 55
3 6 8 75
4 5 8 85
5 8 15 75

07
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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 1 ? EXAMINATION ? WINTER 2018

Subject Code: 810007 Date:01/01/2019
Subject Name: Quantitative Analysis (QA)
Time: 10:30 AM To 01:30 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Compute Mean and Standard Deviation from following table.

Class 0-20 20-40 40-60 60-80 80-100
Frequency 32 16 13 10 19
07
(b) Explain usefulness of coefficient of variation and compare the following two sets
of data for consistency.

Data set I Data set II
49 159
82 121
77 138
54 152

07

Q.2 (a) Five students of an engineering program at certain institute were selected at
random. Their Intelligent Quotient (I.Q.) and the marks obtained by them in one
paper were as given below. Calculate coefficient of correlation

I.Q Marks (Out of 100)
120 85
110 80
130 90
115 88
125 92
120 87

07
(b) In a society there are two clubs. 60% members of the society are members of club
A and 29% members of the society are member of club B while 13% members of
the society are member of both clubs. Suppose if one society member is selected
at random,
(i) What is the probability that he is member of club A or club B?
(ii) What is the probability that he is neither member of club A nor club B?
(iii) What is the probability that he is not the member of club A but member of
club B?
07
OR
(b) What is time series analysis and discuss the components of time series. 07

Q.3 (a) According to Cellular Telecommunication Industry Association, the average local
monthly cell phone bill is \$42.78. Suppose local monthly cell phone bills are
normally distributed, with a standard deviation of \$11.35.
(i)What is the probability that a randomly selected cell phone bill is more than
\$67.75?
(ii)What is the probability that a randomly selected cell phone bill is between \$30
and \$50?
(iii)What is the probability that a randomly selected cell phone bill is not more
than \$25
07
Page 2 of 3

(b) Perform One Way ANOVA for following data, [Take level of significance = 0.05]

1 2 3 4
113 120 132 122
121 127 130 118
117 125 129 125
110 129 135 125

07
OR
Q.3 (a) Using the following data to obtain the equation of regression line.

07
(b) What is decision theory? Explain in detail various decision making methods under
uncertainty.
07

Q.4 (a) Two different samples are taken from two different normally distributed
populations. Test the following hypothesis of the difference in population means
by using the following data. [Take level of significance = 0.10]

H 0: ? 1- ? 2 = 0 H 1: ? 1- ? 2 < 0

Sample 1 Sample 2
_ _
x 1 = 51.3 2 x 2 = 53.2
S 1
2
= 52 S 2
2
= 60
n 1 = 31 n 2 = 32

07
(b) What is Index numbers and discuss the types of Index numbers in detail. 07
OR
Q.4 (a) From the following table check if the Variable 1 is independent of Variable 2 by
using Chi- square test of independence. Take ? = 0.01.

07
(b) An index consists of five items. The base period for the index is March 2012. The
table provides details of these items over a period of time and the quantity
consumed by a family. Construct Laspeyre quantity index.

Item Quantity in
2012
Quantity in
2017
Price per unit
in 2012
1 4 8 100
2 5 12 55
3 6 8 75
4 5 8 85
5 8 15 75

07
Page 3 of 3

Q.5 (a) A pen company averages 1.2 defective pens per carton produced. The number of
defects per carton is Poisson distributed. If the each carton is of 200 pens, find
following probabilities.
(i) Randomly selected carton do not have any defective pen
(ii) Randomly selected carton is having 8 or more defective pens.
07
(b) Explain the different discrete distribution and continuous distribution with suitable
examples.
07
OR
Q.5 (a) What is Type I and Type II error? Explain with examples 07
(b) Hilton press hypothesizes that the average life of its largest web press is 14500
hours. They know that the standard deviation of press life is 2100 hours. From a
sample of 25 presses, the company finds a sample mean of 13000 hours. At 0.01
significance level, should the company conclude that the average life of the
presses is less than the hypothesized 14500 hours
07

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