# Download GTU MBA 2016 Summer 1st Sem 810007 Quantitative Analysis Question Paper

Page 1 of 2

Seat No.: ___________ Enrolment No.:___________
GUJARAT TECHNOLOGICAL UNIVERSITY
MBA - SEMESTER - I ? EXAMINATION ? SUMMER 2016
Subject Code : 810007 Date : 21/05/2016
Subject Name: Quantitative Analysis (QA)
Time : 10.30 am to 01.30 pm Total Marks : 70
Instructions :
1. Attempt all questions.
2. Make suitable assumption wherever necessary.
3. Figure to the right indicate full marks.

Q.1. (a) Define Statistics and give the Functions and Importance of Statistics. 07
(b) Two dice (Pasaa) are thrown simultaneously, represent the sample space. 07
What is a probability of getting a total score less than 11.

Q.2. (a) Explain in brief the types of sampling and advantages and disadvantages 07
of sampling. (only two points)
(b) The mean and variance of a binomial distribution are 15 and 6 respectively. 07
Find the value of n and p.
OR
(b) For a poisson variate P (1) = P (2) Find the value of P (0) 07

Q.3. (a) Define the hypothesis. What is null hypothesis and alternate hypothesis? 07
Explain with an example.
(b) The following yields are obtaining by using three fertilizers in different 07
plots.

Fertilizer Yield
A 1 4 3 3
B 6 5 4 2
C 7 3 5 6
Test the hypothesis that there is no significance difference between the
fertilizer.
OR
(a) Explain the ANOVA (Analysis of variance ? one way) technique. 07
(b) To access the significance of possible variation in performance in a certain 07
test between the English schools of a city, a common test was given to a
number of 5 students taken at random from the senior fifth class of each of
the four schools concerned. The results are given below. Make an analysis
of Variance of data. (Given that F0.05 for v1 = 3, v2 = 16 is 3.24, at 5% level
of significance).

Schools Marks of the Students
A 8 10 12 8 7
B 12 11 9 14 4
C 18 12 16 6 8
D 13 9 12 16 15

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Page 1 of 2

Seat No.: ___________ Enrolment No.:___________
GUJARAT TECHNOLOGICAL UNIVERSITY
MBA - SEMESTER - I ? EXAMINATION ? SUMMER 2016
Subject Code : 810007 Date : 21/05/2016
Subject Name: Quantitative Analysis (QA)
Time : 10.30 am to 01.30 pm Total Marks : 70
Instructions :
1. Attempt all questions.
2. Make suitable assumption wherever necessary.
3. Figure to the right indicate full marks.

Q.1. (a) Define Statistics and give the Functions and Importance of Statistics. 07
(b) Two dice (Pasaa) are thrown simultaneously, represent the sample space. 07
What is a probability of getting a total score less than 11.

Q.2. (a) Explain in brief the types of sampling and advantages and disadvantages 07
of sampling. (only two points)
(b) The mean and variance of a binomial distribution are 15 and 6 respectively. 07
Find the value of n and p.
OR
(b) For a poisson variate P (1) = P (2) Find the value of P (0) 07

Q.3. (a) Define the hypothesis. What is null hypothesis and alternate hypothesis? 07
Explain with an example.
(b) The following yields are obtaining by using three fertilizers in different 07
plots.

Fertilizer Yield
A 1 4 3 3
B 6 5 4 2
C 7 3 5 6
Test the hypothesis that there is no significance difference between the
fertilizer.
OR
(a) Explain the ANOVA (Analysis of variance ? one way) technique. 07
(b) To access the significance of possible variation in performance in a certain 07
test between the English schools of a city, a common test was given to a
number of 5 students taken at random from the senior fifth class of each of
the four schools concerned. The results are given below. Make an analysis
of Variance of data. (Given that F0.05 for v1 = 3, v2 = 16 is 3.24, at 5% level
of significance).

Schools Marks of the Students
A 8 10 12 8 7
B 12 11 9 14 4
C 18 12 16 6 8
D 13 9 12 16 15

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Q.4. (a) Explain the uses and limitations of Chi-square (?
2
) 07
(b) Find the multiple regression equation of X1 on X2 and X3 from the data 07
relating to three variation given below.

X1 9 13 15 7 6 4
X2 6 4 3 8 12 15
X3 14 10 4 20 24 30
(Regression Equation of X1 on X2 and X3 is
X1 = a1.23 + b12.3 X2 + b13.2 X3)
OR
(a) What is a meaning of regression analysis ? Explain in detail. 07
(b) From the following data obtain two regression equation. 07

Y 39 41 33 45 50 37 48 36 31
Z 19 20 15 22 26 21 24 19 14

Q.5. (a) Write a note on index numbers. Briefly explain laspeyres and Paasche 07
price indices.
(b) Find the seasonal variation by the methods of three yearly moving average. 07

Year Price of commodity
1993 120 140 145
1994 145 160 165
1995 160 168 172
1996 170 174 176

OR
(a) Explain the components of Time Series Analysis. 07
(b) Calculate laspeyre?s and Paasche?s index numbers from the following data. 07

Commodities Base Year Current year
Quantity
(Kg)
Price
(Rs.)
Quantity
(Kg)
Price
(Rs.)
A 12 10 15 12
B 15 7 20 5
C 24 5 20 9
D 5 15 5 14

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