Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2018 Summer 1st Sem 2810007 Quantitative Analysis I Previous Question Paper

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? SUMMER 2018

Subject Code:2810007 Date:04/05/2018

Subject Name: Quantitative Analysis-I

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) Answer the following questions 6

1. What is the lowest level of data measurement?

A. Nominal B. Ordinal

C. Interval D. Ratio

2. Which of the following is not a probability assigning technique?

A. Classical method B. Subjective Probability method

C. Relative frequency method D Cumulative frequency method

3. If the standard deviation of a variable is expressed as a percentage of mean, the

measure is called______

A. Relative Variation B. Quartile deviation

C. Coefficient of variation D. Mean Absolute deviation

4.

The value of r

2

for particular situation is 0.81. What is the coefficient of

correlation?

A. Cannot be determined B. 0.81

C. 0.9 D. 0.09

5. A random variable that can assume any numerical value over a range is

A. Classical variable B. Discrete variable

C. Continuous variable D. Independent Variable

6. When a distribution is symmetrical and has one mode, the highest point on the curve

is called:

A. All of these B. Mode

C. Median D. Mean

Q.1

(b) What are independent and mutually exclusive events? Distinguish with

examples

4

Q.1 (c) Explain Central Limit theorem in detail. 4

Q.2 (a) What is statistics? Discuss applications of it in various fields of management. 7

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? SUMMER 2018

Subject Code:2810007 Date:04/05/2018

Subject Name: Quantitative Analysis-I

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) Answer the following questions 6

1. What is the lowest level of data measurement?

A. Nominal B. Ordinal

C. Interval D. Ratio

2. Which of the following is not a probability assigning technique?

A. Classical method B. Subjective Probability method

C. Relative frequency method D Cumulative frequency method

3. If the standard deviation of a variable is expressed as a percentage of mean, the

measure is called______

A. Relative Variation B. Quartile deviation

C. Coefficient of variation D. Mean Absolute deviation

4.

The value of r

2

for particular situation is 0.81. What is the coefficient of

correlation?

A. Cannot be determined B. 0.81

C. 0.9 D. 0.09

5. A random variable that can assume any numerical value over a range is

A. Classical variable B. Discrete variable

C. Continuous variable D. Independent Variable

6. When a distribution is symmetrical and has one mode, the highest point on the curve

is called:

A. All of these B. Mode

C. Median D. Mean

Q.1

(b) What are independent and mutually exclusive events? Distinguish with

examples

4

Q.1 (c) Explain Central Limit theorem in detail. 4

Q.2 (a) What is statistics? Discuss applications of it in various fields of management. 7

2

(b) Alpha Mall is the target for many shoplifters in the past month, but owing to

increased security precautions, 250 shoplifters have been caught. The data are

tabulated as follow:

Gender

First-Time

Offender

Repeat Offender

Male 60 70

Female 70 50

i. The Probability that shoplifter is both Female and a first time

offender

ii. The Probability that shoplifter is a first time offender, given that he

is a male

iii. The Probability that shoplifter is a female, given that shoplifter is

repeat offender

7

OR

(b) An organization is planning a leisure trip for its employees. The only thing

which can cancel the trip is thunderstorm. The weather service has predicted

Dry conditions with probability 0.2, Moist Conditions with probability 0.45 and

Wet conditions with probability 0.35.If the probability of a thunderstorm given

dry conditions is 0.3, given moist conditions is 0.6, and given wet conditions is

0.8. If a thunderstorm occurs,

(i) What is the probability that moist conditions were in effect?

(ii)What is the probability that wet conditions were in effect?

(iii)What is the probability that dry conditions were in effect? (use Bayesian

Analysis)

7

Q.3 (a) Discuss various types of probability and non probability sampling techniques 7

(b) One of the earliest applications of the Poisson Distribution was in analyzing

incoming calls to a telephone switch-board. Analysts generally believe that

random phone calls are Poisson distributed. Suppose phone calls to a switch-

board arrive at an average rate of 2.4 calls per minute.

a) If an operator wants to take a 1-minute break, what is the probability

that there will be no calls during a 1-minute interval?

b) If an operator can handle at most five calls per minute, what is the

probability that the operator will be unable to handle the calls in any

1-minute interval?

c) What is the probability that exactly three calls will arrive in a 2-

minute interval?

d) What is the probability that one or fewer calls will arrive in a 15-

second interval?

7

OR

Q.3

(a) Explain in detail the characteristics of Uniform and hyper-geometric

distribution

7

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? SUMMER 2018

Subject Code:2810007 Date:04/05/2018

Subject Name: Quantitative Analysis-I

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) Answer the following questions 6

1. What is the lowest level of data measurement?

A. Nominal B. Ordinal

C. Interval D. Ratio

2. Which of the following is not a probability assigning technique?

A. Classical method B. Subjective Probability method

C. Relative frequency method D Cumulative frequency method

3. If the standard deviation of a variable is expressed as a percentage of mean, the

measure is called______

A. Relative Variation B. Quartile deviation

C. Coefficient of variation D. Mean Absolute deviation

4.

The value of r

2

for particular situation is 0.81. What is the coefficient of

correlation?

A. Cannot be determined B. 0.81

C. 0.9 D. 0.09

5. A random variable that can assume any numerical value over a range is

A. Classical variable B. Discrete variable

C. Continuous variable D. Independent Variable

6. When a distribution is symmetrical and has one mode, the highest point on the curve

is called:

A. All of these B. Mode

C. Median D. Mean

Q.1

(b) What are independent and mutually exclusive events? Distinguish with

examples

4

Q.1 (c) Explain Central Limit theorem in detail. 4

Q.2 (a) What is statistics? Discuss applications of it in various fields of management. 7

2

(b) Alpha Mall is the target for many shoplifters in the past month, but owing to

increased security precautions, 250 shoplifters have been caught. The data are

tabulated as follow:

Gender

First-Time

Offender

Repeat Offender

Male 60 70

Female 70 50

i. The Probability that shoplifter is both Female and a first time

offender

ii. The Probability that shoplifter is a first time offender, given that he

is a male

iii. The Probability that shoplifter is a female, given that shoplifter is

repeat offender

7

OR

(b) An organization is planning a leisure trip for its employees. The only thing

which can cancel the trip is thunderstorm. The weather service has predicted

Dry conditions with probability 0.2, Moist Conditions with probability 0.45 and

Wet conditions with probability 0.35.If the probability of a thunderstorm given

dry conditions is 0.3, given moist conditions is 0.6, and given wet conditions is

0.8. If a thunderstorm occurs,

(i) What is the probability that moist conditions were in effect?

(ii)What is the probability that wet conditions were in effect?

(iii)What is the probability that dry conditions were in effect? (use Bayesian

Analysis)

7

Q.3 (a) Discuss various types of probability and non probability sampling techniques 7

(b) One of the earliest applications of the Poisson Distribution was in analyzing

incoming calls to a telephone switch-board. Analysts generally believe that

random phone calls are Poisson distributed. Suppose phone calls to a switch-

board arrive at an average rate of 2.4 calls per minute.

a) If an operator wants to take a 1-minute break, what is the probability

that there will be no calls during a 1-minute interval?

b) If an operator can handle at most five calls per minute, what is the

probability that the operator will be unable to handle the calls in any

1-minute interval?

c) What is the probability that exactly three calls will arrive in a 2-

minute interval?

d) What is the probability that one or fewer calls will arrive in a 15-

second interval?

7

OR

Q.3

(a) Explain in detail the characteristics of Uniform and hyper-geometric

distribution

7

3

(b) The lifetime of certain kinds of electronic devices have a mean of 300 hours

and the standard deviation of 25 hours. Assuming that the distribution of these

lifetimes which are measured to the nearest hour can be approximated closely

with a normal distribution.

i. What is the probability of lifetime of any one of these devices to be

more than 350 hours?

ii. What percentage will have lifetimes of 300 or less?

iii. What percentage will have lifetimes from 220 to 260 hours?

7

Q.4 (a) What is Hypothesis testing? Discuss steps in detail. 7

(b) A Cable TV network company wants to provide modern facility to its

consumers. The Company has a five year old data, which reveals that the

average household income is Rs 120000. The company believes that the

average income might have changed over the period. To verify the claim, it

takes a sample of 40 households. From the sample, it is observed that the

average income is 125000. From the historical data, population standard

deviation is obtained as 1200. Use alpha as 0.05 to test the claim.

7

OR

Q.4

(a) What are Type I and type II errors? Discuss in relation to level of significance.

7

(b) An electronic goods company arranged a special training programme for its

employees. The company wants to measure the change in the attitude of its

employees after the training. The company selected a random sample of

10employees. The scores by these employees are given in the table. Use ?=

0.10, to determine whether there is a significant change in the attitude of

employees after the training programme.

Employee 1 2 3 4 5 6 7 8 9 10

Before 25 26 28 22 20 30 22 20 21 24

After 32 30 32 34 32 28 25 30 25 28

7

Q.5 The following table gives the number of good and defective parts produced by

each of the three shifts in a factory.

Shift Good Defective Total

Day 900 130 1030

Evening 700 170 870

Night 400 200 600

Total 2000 500 2500

A. Is there any association between the shift and the quality of the parts

produced? Use 0.05 level of significance.

B. Discuss various applications of Chi Square test with illustrations.

14

OR

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? SUMMER 2018

Subject Code:2810007 Date:04/05/2018

Subject Name: Quantitative Analysis-I

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) Answer the following questions 6

1. What is the lowest level of data measurement?

A. Nominal B. Ordinal

C. Interval D. Ratio

2. Which of the following is not a probability assigning technique?

A. Classical method B. Subjective Probability method

C. Relative frequency method D Cumulative frequency method

3. If the standard deviation of a variable is expressed as a percentage of mean, the

measure is called______

A. Relative Variation B. Quartile deviation

C. Coefficient of variation D. Mean Absolute deviation

4.

The value of r

2

for particular situation is 0.81. What is the coefficient of

correlation?

A. Cannot be determined B. 0.81

C. 0.9 D. 0.09

5. A random variable that can assume any numerical value over a range is

A. Classical variable B. Discrete variable

C. Continuous variable D. Independent Variable

6. When a distribution is symmetrical and has one mode, the highest point on the curve

is called:

A. All of these B. Mode

C. Median D. Mean

Q.1

(b) What are independent and mutually exclusive events? Distinguish with

examples

4

Q.1 (c) Explain Central Limit theorem in detail. 4

Q.2 (a) What is statistics? Discuss applications of it in various fields of management. 7

2

(b) Alpha Mall is the target for many shoplifters in the past month, but owing to

increased security precautions, 250 shoplifters have been caught. The data are

tabulated as follow:

Gender

First-Time

Offender

Repeat Offender

Male 60 70

Female 70 50

i. The Probability that shoplifter is both Female and a first time

offender

ii. The Probability that shoplifter is a first time offender, given that he

is a male

iii. The Probability that shoplifter is a female, given that shoplifter is

repeat offender

7

OR

(b) An organization is planning a leisure trip for its employees. The only thing

which can cancel the trip is thunderstorm. The weather service has predicted

Dry conditions with probability 0.2, Moist Conditions with probability 0.45 and

Wet conditions with probability 0.35.If the probability of a thunderstorm given

dry conditions is 0.3, given moist conditions is 0.6, and given wet conditions is

0.8. If a thunderstorm occurs,

(i) What is the probability that moist conditions were in effect?

(ii)What is the probability that wet conditions were in effect?

(iii)What is the probability that dry conditions were in effect? (use Bayesian

Analysis)

7

Q.3 (a) Discuss various types of probability and non probability sampling techniques 7

(b) One of the earliest applications of the Poisson Distribution was in analyzing

incoming calls to a telephone switch-board. Analysts generally believe that

random phone calls are Poisson distributed. Suppose phone calls to a switch-

board arrive at an average rate of 2.4 calls per minute.

a) If an operator wants to take a 1-minute break, what is the probability

that there will be no calls during a 1-minute interval?

b) If an operator can handle at most five calls per minute, what is the

probability that the operator will be unable to handle the calls in any

1-minute interval?

c) What is the probability that exactly three calls will arrive in a 2-

minute interval?

d) What is the probability that one or fewer calls will arrive in a 15-

second interval?

7

OR

Q.3

(a) Explain in detail the characteristics of Uniform and hyper-geometric

distribution

7

3

(b) The lifetime of certain kinds of electronic devices have a mean of 300 hours

and the standard deviation of 25 hours. Assuming that the distribution of these

lifetimes which are measured to the nearest hour can be approximated closely

with a normal distribution.

i. What is the probability of lifetime of any one of these devices to be

more than 350 hours?

ii. What percentage will have lifetimes of 300 or less?

iii. What percentage will have lifetimes from 220 to 260 hours?

7

Q.4 (a) What is Hypothesis testing? Discuss steps in detail. 7

(b) A Cable TV network company wants to provide modern facility to its

consumers. The Company has a five year old data, which reveals that the

average household income is Rs 120000. The company believes that the

average income might have changed over the period. To verify the claim, it

takes a sample of 40 households. From the sample, it is observed that the

average income is 125000. From the historical data, population standard

deviation is obtained as 1200. Use alpha as 0.05 to test the claim.

7

OR

Q.4

(a) What are Type I and type II errors? Discuss in relation to level of significance.

7

(b) An electronic goods company arranged a special training programme for its

employees. The company wants to measure the change in the attitude of its

employees after the training. The company selected a random sample of

10employees. The scores by these employees are given in the table. Use ?=

0.10, to determine whether there is a significant change in the attitude of

employees after the training programme.

Employee 1 2 3 4 5 6 7 8 9 10

Before 25 26 28 22 20 30 22 20 21 24

After 32 30 32 34 32 28 25 30 25 28

7

Q.5 The following table gives the number of good and defective parts produced by

each of the three shifts in a factory.

Shift Good Defective Total

Day 900 130 1030

Evening 700 170 870

Night 400 200 600

Total 2000 500 2500

A. Is there any association between the shift and the quality of the parts

produced? Use 0.05 level of significance.

B. Discuss various applications of Chi Square test with illustrations.

14

OR

4

Q.5 As the head of the department of a consumer research organization, you have

the responsibility for testing and comparing the lifetime of four brands of

electric bulbs. Suppose you test the lifetime of the three electric bulbs of each

of the four brands. The data is shown below, each entry representing the

lifetime of an electric bulb, measured in hundreds of hours.

Brand

A B C D

20 25 24 23

19 23 20 20

21 21 22 20

A. Use ANOVA to infer, whether the mean lifetimes of the four brands of

electric bulbs are equal? ?=0.05

B. It can be inferred that more the price of the electric bulb, more will be the

life time of it. Discuss the concept of correlation and regression techniques for

finding the relationship between price and lifetime.

14

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This post was last modified on 19 February 2020