Please provide me question paper for Gujarat Technological University MBA 2nd Sem-Research Methodology and operations Research Examination ?

Here I am giving you question paper for Gujarat Technological University MBA 2nd Sem-Research Methodology and operations Research Examination in PDF file attached with it so you can get it easily

Q.1 (a) Find the graphical solution of the following problem.

Find x and y so as to Minimize Z = X + Y subject to the following constraints;

5X + 10Y ≤ 50 , X + Y ≥ 1 , Y ≤ 4 , X , Y ≥ 0 . Observe the solution and comment on

it.

Write the dual of this problem.

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(b) State and explain the following important features of ‘Explanatory Data Analysis’

(1) Frequency table and Histogram (2) Stem and Leaf displays (3) Boxplots

b) Identify the differences between Parametric and non-Parametric tests. in the context of

χ2 test , comment on ‘Goodness of fit is identified by badness of fit’. It is

hypothesized by a researcher that the three cities A , B ,and C have selling potential of

a product in the ratio 2:3:4. The sales manager of the company gave the actual sales

figures 380 , 640, and 780 in the respective cities .What test do you suggest? Perform

basic steps towards the solution and find the calculated value. (There is no need of

searching for ‘Table value’.)

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OR

(b) What is a research? State each aspect of a good research and write distinct features or

characteristics of that aspect.

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Q.3 (a) Define hypothesis in research terminology. What is a null hypothesis? Give important

features on each of the followings.

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(1) Descriptive Hypothesis (2) Relational Hypothesis (3) Co relational Hypothesis, and

(4) Explanatory Hypothesis. Explain type-I and type –II errors.

(b) It was claimed that persons crossing certain age group may not like to change their

reading habits. The study of 22 randomly selected persons divided in two equal

groups, the total numbers of books or magazines they read during a span of one year

are as follows.

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Group A Group B

Average books read 1500 1300

Standard Deviation 225 251

Do the two groups means differ from each other? (Use 0.05 % level of significance )

Q.4 (a) Describe the complete procedure of finding graphical solution of a linear programming

problem. What do you understand by ‘convex region’? Discuss one special case in the

graphical solution of such problem.

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(b) What do we mean by ‘Duality’? Write some important features of ‘Primal & Dual’

problem.

Write the dual of the following problem.

Maximize 10 Y1 + 8 Y2 – 6 Y3 subject to the following constraints.

3 Y1 + Y2 – 2 Y3 ≤ 10 , -2Y1 + 3 Y2 - Y3 ≥ 12 , Y1 , Y2 , Y3 ≥ 0