Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2019 Summer 1st Sem 810007 Quantitative Analysis Previous Question Paper

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER ? 1 ? EXAMINATION ? SUMMER 2019

Subject Code: 810007 Date: 22/05/2019

Subject Name: Quantitative Analysis

Time: 02:30 PM To 05:30 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) Explain the concept of Central Tendency. Which are the key measures of

central tendency? Explain advantages and disadvantages of each of the

measures of central tendency.

07

(b) Define Type I and Type II error. Highlight the key differences between them. 07

Q.2 (a) The percentage of people (to the nearest 10) responding to an advertisement is a

random variable denoted by X with the following distribution.

X (%) 0 10 20 30 40 50

p(x) 0.1 0.2 0.35 0.2 0.1 0.05

1) What is the expected percentage of people responding to an advertisement?

2) What is the SD of percentage of people responding to an advertisement?

3) Find the probability that more than 20% will respond to the advertisement

07

(b) What do you understand by Normal distribution? Enlist six characteristics of it 07

OR

(b) In a manufacturing plant, machine A produces 10% of a certain product,

machine B produce 40% of this product and machine C produces 50% of this

product. 5% of machine A products are defective, 12% of machine B products

are defective and 8% of machine C products are defective. Determine the

revised probabilities that the sampled product was produced by machine A,

machine B and machine C. Apply your knowledge of Bayes theorem

07

Q.3 (a)

Calculate Mean and Standard Deviation from the following table.

Class Frequency

18-24 17

24-30 22

30-36 26

36-42 35

42-48 33

48-54 30

54-60 32

60-66 21

66-72 15

07

(b) Write a short note on level of data measurement 07

OR

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER ? 1 ? EXAMINATION ? SUMMER 2019

Subject Code: 810007 Date: 22/05/2019

Subject Name: Quantitative Analysis

Time: 02:30 PM To 05:30 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) Explain the concept of Central Tendency. Which are the key measures of

central tendency? Explain advantages and disadvantages of each of the

measures of central tendency.

07

(b) Define Type I and Type II error. Highlight the key differences between them. 07

Q.2 (a) The percentage of people (to the nearest 10) responding to an advertisement is a

random variable denoted by X with the following distribution.

X (%) 0 10 20 30 40 50

p(x) 0.1 0.2 0.35 0.2 0.1 0.05

1) What is the expected percentage of people responding to an advertisement?

2) What is the SD of percentage of people responding to an advertisement?

3) Find the probability that more than 20% will respond to the advertisement

07

(b) What do you understand by Normal distribution? Enlist six characteristics of it 07

OR

(b) In a manufacturing plant, machine A produces 10% of a certain product,

machine B produce 40% of this product and machine C produces 50% of this

product. 5% of machine A products are defective, 12% of machine B products

are defective and 8% of machine C products are defective. Determine the

revised probabilities that the sampled product was produced by machine A,

machine B and machine C. Apply your knowledge of Bayes theorem

07

Q.3 (a)

Calculate Mean and Standard Deviation from the following table.

Class Frequency

18-24 17

24-30 22

30-36 26

36-42 35

42-48 33

48-54 30

54-60 32

60-66 21

66-72 15

07

(b) Write a short note on level of data measurement 07

OR

2

Q.3 (a) A company produces 16 personal computers knowing that 4 of them have

defective wiring. The company that purchased the computers is going to test the

3 of the computers. The purchasing company can detect the defective wiring.

Determine the probability that the purchasing company will find the following?

a. No defective computers b. exactly three defective computers

07

(b) What do you mean by Empirical Rule? How it is different from Chebyshev?s

Theorem?

07

Q.4 (a) Use the following data to determine the equation of the least square regression

line, also calculate R-square.

X 5 7 3 16 12 9

Y 8 9 11 27 15 13

07

(b) Explain the importance of Expected Value & Expected Value of Perfect

Information in business decision making.

07

OR

Q.4 (a) Use the decision table given here to complete parts (1) to (4)

(1) Use the maximax criterion to determine which decision alternative to select.

(2) Use the maximin criterion to determine which decision alternative to select.

(3)Use the Hurwicz criterion to determine which decision alternative to select.

Let ?= 0.3 and then let ?= 0.8 and compare the results.

(4) Compute an opportunity loss table from the data. Use this table and a

minimax regret criterion to determine which decision alternative to select

State of nature S1 S2 S3 S4

Decision Alternatives

D1 50 70 120 110

D2 80 20 75 100

D3 20 45 30 60

D4 100 85 -30 -20

D5 0 -10 65 80

07

(b) What are the different sampling techniques? Explain in detail. 07

Q.5 (a) Calculate Laspeyre?s and Passche?s price index using the following data:

Item Price -2006 Quantity Price-2007 Quantity

1 6.70 150 6.95 135

2 1.35 60 1.45 65

3 5.10 8 6.25 12

4 4.50 25 4.95 30

5 11.95 6 13.20 7

6 7.90 4 9.00 2

07

(b) The average commission charged by full-service brokerage firms on a sale of

common stock is Rs. 144, and standard deviation is Rs. 52. Mr. Shah has taken

a random sample of 121 trades by his clients and determined that they paid an

average commission of Rs. 151. At a 0.10 significance level, can Mr. Shah

conclude that his clients? commissions are higher than the industry average?

07

OR

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER ? 1 ? EXAMINATION ? SUMMER 2019

Subject Code: 810007 Date: 22/05/2019

Subject Name: Quantitative Analysis

Time: 02:30 PM To 05:30 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) Explain the concept of Central Tendency. Which are the key measures of

central tendency? Explain advantages and disadvantages of each of the

measures of central tendency.

07

(b) Define Type I and Type II error. Highlight the key differences between them. 07

Q.2 (a) The percentage of people (to the nearest 10) responding to an advertisement is a

random variable denoted by X with the following distribution.

X (%) 0 10 20 30 40 50

p(x) 0.1 0.2 0.35 0.2 0.1 0.05

1) What is the expected percentage of people responding to an advertisement?

2) What is the SD of percentage of people responding to an advertisement?

3) Find the probability that more than 20% will respond to the advertisement

07

(b) What do you understand by Normal distribution? Enlist six characteristics of it 07

OR

(b) In a manufacturing plant, machine A produces 10% of a certain product,

machine B produce 40% of this product and machine C produces 50% of this

product. 5% of machine A products are defective, 12% of machine B products

are defective and 8% of machine C products are defective. Determine the

revised probabilities that the sampled product was produced by machine A,

machine B and machine C. Apply your knowledge of Bayes theorem

07

Q.3 (a)

Calculate Mean and Standard Deviation from the following table.

Class Frequency

18-24 17

24-30 22

30-36 26

36-42 35

42-48 33

48-54 30

54-60 32

60-66 21

66-72 15

07

(b) Write a short note on level of data measurement 07

OR

2

Q.3 (a) A company produces 16 personal computers knowing that 4 of them have

defective wiring. The company that purchased the computers is going to test the

3 of the computers. The purchasing company can detect the defective wiring.

Determine the probability that the purchasing company will find the following?

a. No defective computers b. exactly three defective computers

07

(b) What do you mean by Empirical Rule? How it is different from Chebyshev?s

Theorem?

07

Q.4 (a) Use the following data to determine the equation of the least square regression

line, also calculate R-square.

X 5 7 3 16 12 9

Y 8 9 11 27 15 13

07

(b) Explain the importance of Expected Value & Expected Value of Perfect

Information in business decision making.

07

OR

Q.4 (a) Use the decision table given here to complete parts (1) to (4)

(1) Use the maximax criterion to determine which decision alternative to select.

(2) Use the maximin criterion to determine which decision alternative to select.

(3)Use the Hurwicz criterion to determine which decision alternative to select.

Let ?= 0.3 and then let ?= 0.8 and compare the results.

(4) Compute an opportunity loss table from the data. Use this table and a

minimax regret criterion to determine which decision alternative to select

State of nature S1 S2 S3 S4

Decision Alternatives

D1 50 70 120 110

D2 80 20 75 100

D3 20 45 30 60

D4 100 85 -30 -20

D5 0 -10 65 80

07

(b) What are the different sampling techniques? Explain in detail. 07

Q.5 (a) Calculate Laspeyre?s and Passche?s price index using the following data:

Item Price -2006 Quantity Price-2007 Quantity

1 6.70 150 6.95 135

2 1.35 60 1.45 65

3 5.10 8 6.25 12

4 4.50 25 4.95 30

5 11.95 6 13.20 7

6 7.90 4 9.00 2

07

(b) The average commission charged by full-service brokerage firms on a sale of

common stock is Rs. 144, and standard deviation is Rs. 52. Mr. Shah has taken

a random sample of 121 trades by his clients and determined that they paid an

average commission of Rs. 151. At a 0.10 significance level, can Mr. Shah

conclude that his clients? commissions are higher than the industry average?

07

OR

3

Q.5 (a) A consumer-research organization routinely selects several car models each

year and evaluates their fuel efficiency. In this year?s study of two similar

subcompact models from two different automakers, the average gas mileage for

12 cars of brand A was 27.2 miles per gallon, and the standard deviation was

3.8 mpg. The nine brand B cars that were tested average 32.1 mpg, and the

standard deviation was 4.3 mpg. At ?= 0.01, should it conclude that brand A

cars have lower average gas mileage than do brand B cars?

07

(b) Compute a one-way ANOVA on the following data.

1 2 3 4

113 120 132 122

121 127 130 118

117 125 129 125

110 129 135 125

Determine the observed F value. Compare the observed F value with the critical

table F value and decide whether to reject the null hypothesis. Use a 1% level of

significance.

07

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This post was last modified on 19 February 2020