Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2018 Winter 1st Sem 810007 Quantitative Analysis Qa Previous Question Paper

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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This post was last modified on 19 February 2020