Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2016 Winter 1st Sem 2810007 Quantitative Analysis I Previous Question Paper

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? WINTER 2016

Subject Code:2810007 Date: 02/01/2017

Subject Name: Quantitative Analysis-I

Time: 10.30 a.m. to 01.30 p.m. Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

4. Scientific calculator & statistical table (Z, t, F & chi square) are permitted.

Q.1 (a) Answer all the following multiple choice questions. 06

1. The rejection and not rejection regions are divided by a point called the _______.

A. Divisional value B. Critical value

C. Rejection value D. Table value

2. The matched-pairs t test deals with _______.

A. Independent samples B. Average sample

C. Large sample D. Related sample

3. Analysis of variance tests use the _______.

A. Z distribution B. t- distribution

C. A distribution D. F distribution

4. A measure of the degree of relatedness of two variables is _______.

A. Regression B. Correlation

C. Degree of association D. Least square relationship

5. In regression, the predictor is called the _______.

A. Dependent variable B. Independent variable

C. Standard error D. R square

6. In regression analysis, R is also called the _______.

A. Residual B. Co efficient of correlation

C. Error D. Co efficient of determination

Q.1 (b) Define the following terms. 04

1.

2.

3.

4.

Mode

Co efficient of skewness

Independent events

Kurtosis

Q.1 (c) Explain Empirical rule for normally distributed data. 04

Q.2 (a) What is correlation? Determine the value of the coefficient of correlation for the

following data.

X 158 296 87 110 436

Y 349 510 301 322 550

07

(b) According to the labor statistics in India, 75 % of the women of 25 to 50 years age

group participate in labor force. Suppose 78 % of the women in that age group are

married. Suppose also that 61% of all women of 25 to 50 years age group are married

and are participating in the labor force.

What is the probability that a randomly selected woman in that age group is married or

07

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? WINTER 2016

Subject Code:2810007 Date: 02/01/2017

Subject Name: Quantitative Analysis-I

Time: 10.30 a.m. to 01.30 p.m. Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

4. Scientific calculator & statistical table (Z, t, F & chi square) are permitted.

Q.1 (a) Answer all the following multiple choice questions. 06

1. The rejection and not rejection regions are divided by a point called the _______.

A. Divisional value B. Critical value

C. Rejection value D. Table value

2. The matched-pairs t test deals with _______.

A. Independent samples B. Average sample

C. Large sample D. Related sample

3. Analysis of variance tests use the _______.

A. Z distribution B. t- distribution

C. A distribution D. F distribution

4. A measure of the degree of relatedness of two variables is _______.

A. Regression B. Correlation

C. Degree of association D. Least square relationship

5. In regression, the predictor is called the _______.

A. Dependent variable B. Independent variable

C. Standard error D. R square

6. In regression analysis, R is also called the _______.

A. Residual B. Co efficient of correlation

C. Error D. Co efficient of determination

Q.1 (b) Define the following terms. 04

1.

2.

3.

4.

Mode

Co efficient of skewness

Independent events

Kurtosis

Q.1 (c) Explain Empirical rule for normally distributed data. 04

Q.2 (a) What is correlation? Determine the value of the coefficient of correlation for the

following data.

X 158 296 87 110 436

Y 349 510 301 322 550

07

(b) According to the labor statistics in India, 75 % of the women of 25 to 50 years age

group participate in labor force. Suppose 78 % of the women in that age group are

married. Suppose also that 61% of all women of 25 to 50 years age group are married

and are participating in the labor force.

What is the probability that a randomly selected woman in that age group is married or

07

Page 2 of 3

is participating in the labor force? What is the probability that a randomly selected

woman in that age group is neither married nor participating in the labor force?

OR

(b) In a manufacturing plant, machines A, B, and C all produce the same two parts, W and

M. Of all the parts produced, machine A, produces 60 %, machine B produces 30 %

and machine C produces 10 %. 40 % of the parts made by machine A are part W. 50

% of the parts made by machine B are part W and 70 % of the parts made by machine

C are part W. A part produced by this company is randomly selected and is

determined to be a W part. With the knowledge that it is an W part, revise the

probabilities that the part came from machine A, B or C.

07

Q.3 (a) Explain mean, standard deviation, length of uniform distribution, height of uniform

distribution and probabilities of uniform distribution.

07

(b) The Retail world lists the top 17 Indian retailers in annual sales. Star bazzar is number

one followed by Big bazzar and Reliance Mart. Of the 17 retailers on the list, eight are

in some type of private label related business. Suppose four firms are randomly

selected. What is probability that none of the retailers are in some type of private label

business? What is the probability that all four firms are in some type of private label

business?

07

OR

Q.3 (a) Discuss any two non probability sampling methods. 07

(b) Suppose the average speeds of passenger trains traveling from Delhi to Ahmedabad

are normally distributed. The mean average speed of 88 miles per hour and a standard

deviation of 6.4 miles per hour. What is the probability that a train will average less

than 70 miles per hour? What is the probability that a train will average more than 80

miles per hour? What is the probability that a train will average between 90 and 100

miles per hour?

07

Q.4 (a) Explain Co efficient of Determination and Standard error of estimate. 07

(b) A major auto manufacturer wants to know whether there is any difference in the

average mileage of four different brands of tires, because the manufacturer is trying to

select the best supplier in terms of tire durability. The manufacturer selects

comparable levels of tires from each company and test some on comparable cars. The

mileage results follow.

Brand A 31000, 25000, 28000, 29000, 32000, 27500

Brand B 24000, 25500, 27000, 26500, 25000, 28000, 27500

Brand C 30500, 28000, 32500, 28000, 31000

Brand D 24500, 27000, 26000, 21000, 25500, 26000

Use 0.05 significance level to test whether there is a significant difference in the mean

mileage of these four brands. Assume tire mileage is normally distributed.

07

OR

Q.4 (a) Discuss the application of regression analysis in detail. 07

(b) Are the type of professional jobs held in the computing industry independent of the

number of years a person has worked in the industry? Suppose 246 workers are

interviewed. Use the results obtained to determine whether type of professional job

held in the computer industry is independent of years worked in the industry. Use 0.01

significance level.

Professional positions

Years

Manager Programmer Operator System Analyst

0-3 6 37 11 13

4-8 28 16 23 24

>8 47 10 12 19

07

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? WINTER 2016

Subject Code:2810007 Date: 02/01/2017

Subject Name: Quantitative Analysis-I

Time: 10.30 a.m. to 01.30 p.m. Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

4. Scientific calculator & statistical table (Z, t, F & chi square) are permitted.

Q.1 (a) Answer all the following multiple choice questions. 06

1. The rejection and not rejection regions are divided by a point called the _______.

A. Divisional value B. Critical value

C. Rejection value D. Table value

2. The matched-pairs t test deals with _______.

A. Independent samples B. Average sample

C. Large sample D. Related sample

3. Analysis of variance tests use the _______.

A. Z distribution B. t- distribution

C. A distribution D. F distribution

4. A measure of the degree of relatedness of two variables is _______.

A. Regression B. Correlation

C. Degree of association D. Least square relationship

5. In regression, the predictor is called the _______.

A. Dependent variable B. Independent variable

C. Standard error D. R square

6. In regression analysis, R is also called the _______.

A. Residual B. Co efficient of correlation

C. Error D. Co efficient of determination

Q.1 (b) Define the following terms. 04

1.

2.

3.

4.

Mode

Co efficient of skewness

Independent events

Kurtosis

Q.1 (c) Explain Empirical rule for normally distributed data. 04

Q.2 (a) What is correlation? Determine the value of the coefficient of correlation for the

following data.

X 158 296 87 110 436

Y 349 510 301 322 550

07

(b) According to the labor statistics in India, 75 % of the women of 25 to 50 years age

group participate in labor force. Suppose 78 % of the women in that age group are

married. Suppose also that 61% of all women of 25 to 50 years age group are married

and are participating in the labor force.

What is the probability that a randomly selected woman in that age group is married or

07

Page 2 of 3

is participating in the labor force? What is the probability that a randomly selected

woman in that age group is neither married nor participating in the labor force?

OR

(b) In a manufacturing plant, machines A, B, and C all produce the same two parts, W and

M. Of all the parts produced, machine A, produces 60 %, machine B produces 30 %

and machine C produces 10 %. 40 % of the parts made by machine A are part W. 50

% of the parts made by machine B are part W and 70 % of the parts made by machine

C are part W. A part produced by this company is randomly selected and is

determined to be a W part. With the knowledge that it is an W part, revise the

probabilities that the part came from machine A, B or C.

07

Q.3 (a) Explain mean, standard deviation, length of uniform distribution, height of uniform

distribution and probabilities of uniform distribution.

07

(b) The Retail world lists the top 17 Indian retailers in annual sales. Star bazzar is number

one followed by Big bazzar and Reliance Mart. Of the 17 retailers on the list, eight are

in some type of private label related business. Suppose four firms are randomly

selected. What is probability that none of the retailers are in some type of private label

business? What is the probability that all four firms are in some type of private label

business?

07

OR

Q.3 (a) Discuss any two non probability sampling methods. 07

(b) Suppose the average speeds of passenger trains traveling from Delhi to Ahmedabad

are normally distributed. The mean average speed of 88 miles per hour and a standard

deviation of 6.4 miles per hour. What is the probability that a train will average less

than 70 miles per hour? What is the probability that a train will average more than 80

miles per hour? What is the probability that a train will average between 90 and 100

miles per hour?

07

Q.4 (a) Explain Co efficient of Determination and Standard error of estimate. 07

(b) A major auto manufacturer wants to know whether there is any difference in the

average mileage of four different brands of tires, because the manufacturer is trying to

select the best supplier in terms of tire durability. The manufacturer selects

comparable levels of tires from each company and test some on comparable cars. The

mileage results follow.

Brand A 31000, 25000, 28000, 29000, 32000, 27500

Brand B 24000, 25500, 27000, 26500, 25000, 28000, 27500

Brand C 30500, 28000, 32500, 28000, 31000

Brand D 24500, 27000, 26000, 21000, 25500, 26000

Use 0.05 significance level to test whether there is a significant difference in the mean

mileage of these four brands. Assume tire mileage is normally distributed.

07

OR

Q.4 (a) Discuss the application of regression analysis in detail. 07

(b) Are the type of professional jobs held in the computing industry independent of the

number of years a person has worked in the industry? Suppose 246 workers are

interviewed. Use the results obtained to determine whether type of professional job

held in the computer industry is independent of years worked in the industry. Use 0.01

significance level.

Professional positions

Years

Manager Programmer Operator System Analyst

0-3 6 37 11 13

4-8 28 16 23 24

>8 47 10 12 19

07

Page 3 of 3

Q.5 The Environment protection agency (EPA) releases figures on urban air soot in

selected cities in the India. For the city of Mumbai, the EPA claims that the average

number of micrograms of suspended particles per cubic meter of air is 82. Suppose

Mumbai officials have been working with businesses, commuters and industries to

reduce this figure. These city officials hire an environmental company to take random

measures of air soot over a period of several weeks. The resulting data from 32

measurements mention here.

81.6 66.6 70.9 82.5 58.3 71.6 72.4 96.6 78.6 76.1 80.0 73.2 85.5 73.2 68.6 61.7

74.0 68.7 83.0 86.9 94.9 75.6 77.3 86.6 71.7 88.5 87.0 72.5 83.0 85.8 74.9 92.2

Use these data to determine whether the urban air soot in Mumbai is significantly

lower than it was when the EPA conducted its measurements. Use alpha 0.01.

14

OR

Q.5 Eleven employees were put under the care of the company nurse because of high

cholesterol readings. The nurse lectured them on the dangers of this condition and put

them on a new diet program. The following table is the cholesterol readings of the 11

employees both before the new diet and one month after use of the diet program.

Make the statement of hypothesis. Test the hypothesis that the program was successful

with its objective. Use 5 % significance level to test the hypothesis. Assume the

differences in cholesterol readings are normally distributed in the population.

Employee 1 2 3 4 5 6 7 8 9 10 11

Before 255 230 290 242 300 250 215 230 225 219 236

After 197 225 215 215 240 235 190 240 200 203 223

14

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This post was last modified on 19 February 2020