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

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? SUMMER-2018

Subject Code: 810007 Date:04/05/2018

Subject Name: Quantitative Analysis (QA)

Time: 10:30AM To 1:30 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)

Find coefficient of variation for following groups and identify group with higher

uniformity.

Group1: 110,150,140,116,95,100,145,135

Group2: 120,150,95,75,140,160,145,120

(07)

(b) Write a note on type I and type II errors. (07)

Q-2

(a) During inspection in one well known school, the investor committee found that 60

percent failed in maths,52 percent in English and 37percent are failed in both the

subjects.

1. find the probability that the student is failed in maths when it is given that he is

failed in English

2. find the probability that the student is failed in english when it is given that he

is failed in maths

(07)

(b) The city bank of durham has recently begun a new credit program. Customers meeting

certain credit requirements can obtain a credit card accepted by participating area

merchants that carries a discount follows normal distribution. Past numbers show that

mean of the distribution is 3.75and standard deviation is 1.68. What is the probability

that, 1. Fewer than 3 will be rejected? 2. More than five will be rejected?

(07)

OR

(b) Write a note on random sampling methods (07)

Q-3

(a) Mrunal mankad has just purchased computer program that claims to pick stocks that

will increase in price in the next week with an 85 percent accuracy rate. On how many

stocks should mrunal test this program in order to be 98 percent certain that the

percentage of stocks that do in fact go up in the next week will be within plus or minus

0.05 of the sample proportion?

(07)

(b) The average commission charged by brokerage firms on a sale of stock is $144 and the

standard deviation is $52. Joel has taken a random sample of 121 trades by his clients

and determined they paid an average commission of $151. At 0.10 Significance level

can Joel conclude that client?s commissions are higher than industry average?

(07)

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? SUMMER-2018

Subject Code: 810007 Date:04/05/2018

Subject Name: Quantitative Analysis (QA)

Time: 10:30AM To 1:30 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)

Find coefficient of variation for following groups and identify group with higher

uniformity.

Group1: 110,150,140,116,95,100,145,135

Group2: 120,150,95,75,140,160,145,120

(07)

(b) Write a note on type I and type II errors. (07)

Q-2

(a) During inspection in one well known school, the investor committee found that 60

percent failed in maths,52 percent in English and 37percent are failed in both the

subjects.

1. find the probability that the student is failed in maths when it is given that he is

failed in English

2. find the probability that the student is failed in english when it is given that he

is failed in maths

(07)

(b) The city bank of durham has recently begun a new credit program. Customers meeting

certain credit requirements can obtain a credit card accepted by participating area

merchants that carries a discount follows normal distribution. Past numbers show that

mean of the distribution is 3.75and standard deviation is 1.68. What is the probability

that, 1. Fewer than 3 will be rejected? 2. More than five will be rejected?

(07)

OR

(b) Write a note on random sampling methods (07)

Q-3

(a) Mrunal mankad has just purchased computer program that claims to pick stocks that

will increase in price in the next week with an 85 percent accuracy rate. On how many

stocks should mrunal test this program in order to be 98 percent certain that the

percentage of stocks that do in fact go up in the next week will be within plus or minus

0.05 of the sample proportion?

(07)

(b) The average commission charged by brokerage firms on a sale of stock is $144 and the

standard deviation is $52. Joel has taken a random sample of 121 trades by his clients

and determined they paid an average commission of $151. At 0.10 Significance level

can Joel conclude that client?s commissions are higher than industry average?

(07)

OR

Q-3

(a) The data below are a random sample of 9 firms chosen from the ?Digest of earnings

Reports? in the Wall street journal on February 6, 1992:

1.Find the mean change in earnings per share between 1991 and 1992.

2.Find the standard deviation of the change and the standard error of mean.

3.Were average earnings per share different in 1991 and 1992? Test at ?=0.02.

Firm

1 2 3 4 5 6 7 8 9

1991

earnings

1.38 1.26 3.64 3.50 2.47 3.21 1.05 1.98 2.72

1992

earnings

2.48 1.50 4.59 3.06 2.11 2.80 1.59 0.92 0.47

(07)

(b) Calculate mean and mode for following data. Identify the better measure of central

tendency.

Class interval frequency

10-20 15

20-30 20

30-40 18

40-50 22

50-60 15

60-70 15

(07)

Q-4

(a) A Georgia firm manufacturing heavy equipment has collected the following production

information about the company?s principal products. Calculate a weighted aggregates

quantity index using quantities and prices from 1995 as the basis and the weights.

Product Quantity1993 Quantity1994 Quantity1995 Cost 1995

River barges 92 118 85 33

Rail road gondola cars 456 475 480 56

Off the road trucks 52 56 59 116

(07)

(b) Write a note on multiple regression also explain term multicollinearity. (07)

OR

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? SUMMER-2018

Subject Code: 810007 Date:04/05/2018

Subject Name: Quantitative Analysis (QA)

Time: 10:30AM To 1:30 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)

Find coefficient of variation for following groups and identify group with higher

uniformity.

Group1: 110,150,140,116,95,100,145,135

Group2: 120,150,95,75,140,160,145,120

(07)

(b) Write a note on type I and type II errors. (07)

Q-2

(a) During inspection in one well known school, the investor committee found that 60

percent failed in maths,52 percent in English and 37percent are failed in both the

subjects.

1. find the probability that the student is failed in maths when it is given that he is

failed in English

2. find the probability that the student is failed in english when it is given that he

is failed in maths

(07)

(b) The city bank of durham has recently begun a new credit program. Customers meeting

certain credit requirements can obtain a credit card accepted by participating area

merchants that carries a discount follows normal distribution. Past numbers show that

mean of the distribution is 3.75and standard deviation is 1.68. What is the probability

that, 1. Fewer than 3 will be rejected? 2. More than five will be rejected?

(07)

OR

(b) Write a note on random sampling methods (07)

Q-3

(a) Mrunal mankad has just purchased computer program that claims to pick stocks that

will increase in price in the next week with an 85 percent accuracy rate. On how many

stocks should mrunal test this program in order to be 98 percent certain that the

percentage of stocks that do in fact go up in the next week will be within plus or minus

0.05 of the sample proportion?

(07)

(b) The average commission charged by brokerage firms on a sale of stock is $144 and the

standard deviation is $52. Joel has taken a random sample of 121 trades by his clients

and determined they paid an average commission of $151. At 0.10 Significance level

can Joel conclude that client?s commissions are higher than industry average?

(07)

OR

Q-3

(a) The data below are a random sample of 9 firms chosen from the ?Digest of earnings

Reports? in the Wall street journal on February 6, 1992:

1.Find the mean change in earnings per share between 1991 and 1992.

2.Find the standard deviation of the change and the standard error of mean.

3.Were average earnings per share different in 1991 and 1992? Test at ?=0.02.

Firm

1 2 3 4 5 6 7 8 9

1991

earnings

1.38 1.26 3.64 3.50 2.47 3.21 1.05 1.98 2.72

1992

earnings

2.48 1.50 4.59 3.06 2.11 2.80 1.59 0.92 0.47

(07)

(b) Calculate mean and mode for following data. Identify the better measure of central

tendency.

Class interval frequency

10-20 15

20-30 20

30-40 18

40-50 22

50-60 15

60-70 15

(07)

Q-4

(a) A Georgia firm manufacturing heavy equipment has collected the following production

information about the company?s principal products. Calculate a weighted aggregates

quantity index using quantities and prices from 1995 as the basis and the weights.

Product Quantity1993 Quantity1994 Quantity1995 Cost 1995

River barges 92 118 85 33

Rail road gondola cars 456 475 480 56

Off the road trucks 52 56 59 116

(07)

(b) Write a note on multiple regression also explain term multicollinearity. (07)

OR

Q-4

(a) For the following contingency table, calculate the observed and expected frequencies

and chi square statistic. State and test the appropriate hypothesis at the 0.05 significance

level.

Occupation Attitude towards social legislation

Blue collar 19 16 37

White collar 15 22 46

professional 24 11 32

(07)

(b) In a study a peter D. hart research associates for the NASDAQ stock market, it was

determined that 20 % of all stock investors are retired people. In addition, 4o % of all

U.S adults invests in mutual funds. Suppose a random sample of 25 stock investors is

taken. What is the probability that 10 or more are retired people? Suppose a random

sample of 20 U.S adults is taken. What is the probability that exactly eight adults

invested in mutual fund? Fewer than six adults invested in mutual funds? None of the

adults invested in mutual funds? Twelve or more adults invested in mutual funds?

(07)

Q-5

(a) A small independent physicians? practice has three doctors. Dr. Sarabia sees 41 % of

the patients, dr. Tran sees 32% and dr. Jackson sees the rest. Dr. Sarabia requests blood

tests on 5% of her patients; Dr. Tran requests blood tests on 8% of her patients, and Dr.

Jackson requests blood tests on 6 % of her patients. An auditor randomly selects patients

from the past week and discovers that the patient had a blood test as a result of the

physician visit. Knowing this information, what is the probability that the patient saw

Dr. Sarabia? For what percentage of all patients at this practice are blood tests

requested?

(07)

(b) Write a note on techniques for decision making using uncertainty situation. (07)

OR

Q-5

(a) State null and alternative hypothesis and determine whether there is any significant

difference between treatments or not.

1 2 3 4

23 26 24 24

31 35 32 33

27 29 26 27

21 28 27 22

18 25 27 20

(07)

(b) Write a note on components of time series (07)

**************

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This post was last modified on 19 February 2020