# Download GTU MBA 2019 Summer 1st Sem 810007 Quantitative Analysis Question Paper

1
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
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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1
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
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
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

FirstRanker.com - FirstRanker's Choice
1
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
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
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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