# Download GTU MBA 2018 Summer 1st Sem 810007 Quantitative Analysis Qa Question Paper

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

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)
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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