Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2018 Summer 1st Sem 3519207 Business Statistics Bs Previous Question Paper

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? SUMMER-2018

Subject Code: 3519207 Date:04/05/2018

Subject Name: Business Statistics (BS)

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 Explain following terms

1. coefficient of variation

2. marginal probability

3. multicollinearity

4. autocorrelation

5. family budget and cost of living index

6. cyclical variations

7. Random experiment

14

Q.2 A. Find mean, median and mode for following data

Age Frequency

15-20 9

20-25 16

25-30 27

30-35 44

35-40 42

40-45 23

45-50 7

50-55 2

07

B. Write a note on decision theory 07

OR

B. Write a note on statistical graphs and charts 07

Q.3 A Assume that a factory has two machines. Past records show that machine 1

produces 30 % of the items of output and machine 2 produces 70 percent of

items. Further 5 % of the items produced by machine 1 were defective and

only 1 % produced by machine 2 were defective. If a defective item is drawn

at random what is the probability that the defective item was produced by

machine 1 or machine 2?

07

B 1. 15

C

5

2. 15

P

5

07

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? SUMMER-2018

Subject Code: 3519207 Date:04/05/2018

Subject Name: Business Statistics (BS)

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 Explain following terms

1. coefficient of variation

2. marginal probability

3. multicollinearity

4. autocorrelation

5. family budget and cost of living index

6. cyclical variations

7. Random experiment

14

Q.2 A. Find mean, median and mode for following data

Age Frequency

15-20 9

20-25 16

25-30 27

30-35 44

35-40 42

40-45 23

45-50 7

50-55 2

07

B. Write a note on decision theory 07

OR

B. Write a note on statistical graphs and charts 07

Q.3 A Assume that a factory has two machines. Past records show that machine 1

produces 30 % of the items of output and machine 2 produces 70 percent of

items. Further 5 % of the items produced by machine 1 were defective and

only 1 % produced by machine 2 were defective. If a defective item is drawn

at random what is the probability that the defective item was produced by

machine 1 or machine 2?

07

B 1. 15

C

5

2. 15

P

5

07

Page 2 of 3

OR

Q.3 A For given data construct laspeyre quantity index and paasche quantity index.

(base year 1998)

item Quantity in

1998

Quantity in

2005

Price per unit

in 1998

Price per unit

in 2005

1 4 8 100 150

2 5 12 55 110

3 6 8 75 145

4 5 8 85 165

5 8 15 75 155

07

B

A service station has a pump that distributes diesel fuel to automobiles. The

station owner estimates that only about 4 cars use the diesel pump every two

hours. Assume the arrivals of diesel pump users are Poisson distributed.

a. what is the probability that three cars will arrive to use the diesel pump

during a 1- hour period?

b. supposes the owner needs to shut down the diesel pump for half an hour to

make repairs. However, the owner hates to lose any business. What is the

probability that no cars will arrive to use the diesel pump during a half hour

period?

07

Q.4 A Noida realty corporation has purchased land in the outskirts of greater Noida

to develop an integrated township. NRC has three alternatives, namely to

develop a township to house 10,000 families or to develop a golf course with

1000 luxury villas or to develop an integrated software complex with 6000

apartments and office space of 25000 sq. ft. The company foresees two states

of nature, namely a situation where there is a strong demand for the project or

a situation where there is a weak demand for the project. Following table

provides the details of the payoff for the various decision alternatives. There

is 65 % probability that there will be strong demand.

Construct decision tree to graphically represent the decision scenario and using

the expected value criterion. Select the alternative with the highest expected

payoff.

Decision alternative State of nature

Strong demand Weak demand

An integrated township

to house 10000 families

10 3

A golf course with 1000

luxury villas

25 3

An integrated software

complex

20 3

07

B Write a detail note on correlation and regression. Discuss difference between

simple regression and multiple regression using example.

07

OR

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 01? ? EXAMINATION ? SUMMER-2018

Subject Code: 3519207 Date:04/05/2018

Subject Name: Business Statistics (BS)

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 Explain following terms

1. coefficient of variation

2. marginal probability

3. multicollinearity

4. autocorrelation

5. family budget and cost of living index

6. cyclical variations

7. Random experiment

14

Q.2 A. Find mean, median and mode for following data

Age Frequency

15-20 9

20-25 16

25-30 27

30-35 44

35-40 42

40-45 23

45-50 7

50-55 2

07

B. Write a note on decision theory 07

OR

B. Write a note on statistical graphs and charts 07

Q.3 A Assume that a factory has two machines. Past records show that machine 1

produces 30 % of the items of output and machine 2 produces 70 percent of

items. Further 5 % of the items produced by machine 1 were defective and

only 1 % produced by machine 2 were defective. If a defective item is drawn

at random what is the probability that the defective item was produced by

machine 1 or machine 2?

07

B 1. 15

C

5

2. 15

P

5

07

Page 2 of 3

OR

Q.3 A For given data construct laspeyre quantity index and paasche quantity index.

(base year 1998)

item Quantity in

1998

Quantity in

2005

Price per unit

in 1998

Price per unit

in 2005

1 4 8 100 150

2 5 12 55 110

3 6 8 75 145

4 5 8 85 165

5 8 15 75 155

07

B

A service station has a pump that distributes diesel fuel to automobiles. The

station owner estimates that only about 4 cars use the diesel pump every two

hours. Assume the arrivals of diesel pump users are Poisson distributed.

a. what is the probability that three cars will arrive to use the diesel pump

during a 1- hour period?

b. supposes the owner needs to shut down the diesel pump for half an hour to

make repairs. However, the owner hates to lose any business. What is the

probability that no cars will arrive to use the diesel pump during a half hour

period?

07

Q.4 A Noida realty corporation has purchased land in the outskirts of greater Noida

to develop an integrated township. NRC has three alternatives, namely to

develop a township to house 10,000 families or to develop a golf course with

1000 luxury villas or to develop an integrated software complex with 6000

apartments and office space of 25000 sq. ft. The company foresees two states

of nature, namely a situation where there is a strong demand for the project or

a situation where there is a weak demand for the project. Following table

provides the details of the payoff for the various decision alternatives. There

is 65 % probability that there will be strong demand.

Construct decision tree to graphically represent the decision scenario and using

the expected value criterion. Select the alternative with the highest expected

payoff.

Decision alternative State of nature

Strong demand Weak demand

An integrated township

to house 10000 families

10 3

A golf course with 1000

luxury villas

25 3

An integrated software

complex

20 3

07

B Write a detail note on correlation and regression. Discuss difference between

simple regression and multiple regression using example.

07

OR

Page 3 of 3

Q.4 A The lifetime of certain kinds of electronic devices will have a mean of 300

hours and standard deviation of 25 hours. Assuming that the distribution of

these lifetimes, which are measured to be the nearest hours, can be

approximated closely with a normal curve,

i. What percentage will have lifetime of 350 hours or less?

ii. What percentage will have lifetimes from 220 or 260 hours?

07

B Fit the trend line and calculate trend for the year 1960.

X Y

1950 28

1951 35

1952 42

1953 10

1954 22

1955 39

1956 28

07

Q.5

Consider following observations:

123,250,352,143,112,324,256,235,412,156

14

A Prepare five point summary

B Prepare box and whisker plot

OR

A Find mean and standard deviation

B Find range, P80 and D7.

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This post was last modified on 19 February 2020