Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2018 Summer 1st Sem 3519906 Business Statistics Previous Question Paper

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA (PART TIME) SEMESTER 01 - EXAMINATION ? SUMMER-2018

Subject Code: 3519906 Date:04/05/2018

Subject Name: Business Statistics

Time: 10:30 AM To 01:30 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 in short

(a) Define Kurtosis.

(b) State addition & multiplication rule of probability for two events A & B.

(c) What is Standard Normal Distribution?

(d) What is discrete and continuous variable?

(e) What is auto-correlation?

(f) What are the components of a time series?

(g) What is Hurwicz Criteria in decision making?

14

Q.2 (a) Enlist different types of charts and graphs to display

1) Qualitative data

2) Quantitative data

07

(b) Calculate Karl Pearson?s coefficient of skewness from the data given below:

Hourly

Wages

(Rs.)

No. of

Worker

s

Hourly

Wages

(Rs.)

No. of

Worker

s

40-50 5 90-100 30

50-60 6 100-110 36

60-70 8 110-120 50

70-80 10 120-130 60

80-90 25 130-140 70

07

OR

(b) Find the mean, Median and Mode of the following data

07

Class

Frequenc

y

300-325 5

325-350 17

350-375 80

375-400 227

400-425 326

425-450 248

450-475 88

475-500 9

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA (PART TIME) SEMESTER 01 - EXAMINATION ? SUMMER-2018

Subject Code: 3519906 Date:04/05/2018

Subject Name: Business Statistics

Time: 10:30 AM To 01:30 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 in short

(a) Define Kurtosis.

(b) State addition & multiplication rule of probability for two events A & B.

(c) What is Standard Normal Distribution?

(d) What is discrete and continuous variable?

(e) What is auto-correlation?

(f) What are the components of a time series?

(g) What is Hurwicz Criteria in decision making?

14

Q.2 (a) Enlist different types of charts and graphs to display

1) Qualitative data

2) Quantitative data

07

(b) Calculate Karl Pearson?s coefficient of skewness from the data given below:

Hourly

Wages

(Rs.)

No. of

Worker

s

Hourly

Wages

(Rs.)

No. of

Worker

s

40-50 5 90-100 30

50-60 6 100-110 36

60-70 8 110-120 50

70-80 10 120-130 60

80-90 25 130-140 70

07

OR

(b) Find the mean, Median and Mode of the following data

07

Class

Frequenc

y

300-325 5

325-350 17

350-375 80

375-400 227

400-425 326

425-450 248

450-475 88

475-500 9

Page 2 of 3

Q.3 (a) Suppose that a decision maker is faced with three decision alternatives and

four states of nature. The following table shows the profit payoff.

Alternatives

States of nature

S1 S2 S3 S4

A1 16 10 12 7

A2 13 12 9 9

A3 11 14 15 14

Assuming that he does not have any knowledge of the of the probabilities of

occurrence of the states of nature, find the decisions to be recommended

under each of the following criteria

1) Maximin

2) Maximax

3) Minimax Regret

07

(b) The probability of a bomb hitting a target is 0.2. Two bombs are enough to

destroy a bridge. If six bombs are aimed at the bridge, find the probability

that the bridge is destroyed.

07

OR

Q.3 (a) A maker of soft drinks is considering the introduction of new brand. He

expects to sell 50,000 to 1,00,000 bottles of the new soft drink in a given

period according to the following probability distribution.

No. of bottles sold (in '000s) 50 60 70 80 90 100

Probability 0.13 0.20 0.35 0.22 0.08 0.02

If the product is launched he will have to incur a fixed cost of Rs. 48,000.

However each bottle sold would give him a profit of Rs. 1.25. Should he

introduce the brand?

07

(b) A manufacturer, who produces medicine bottles, finds that 0.1% of the

bottles are defectives. Bottles are packed in boxes containing 500 bottles. A

drug manufacturer buys 100 boxes from the producers of bottles. Using

Poisson distribution, find how many boxes will contain

1) No defectives.

2) At least 2 defectives.

07

Q.4 (a) Explain different types of correlations with the help of scatter diagrams.

07

(b) From the following data calculate price index numbers for 2010 with 2000 as

base year by 1) Paasche?s Method and 2) Marshall-Edgeworth method.

Commodities

2000 2010

Price Quantity Price Quantity

A 20 8 40 6

B 50 10 60 5

C 40 15 50 15

D 20 20 20 25

07

OR

Q.4 (a) Explain the assumptions of simple linear regression model

07

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA (PART TIME) SEMESTER 01 - EXAMINATION ? SUMMER-2018

Subject Code: 3519906 Date:04/05/2018

Subject Name: Business Statistics

Time: 10:30 AM To 01:30 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 in short

(a) Define Kurtosis.

(b) State addition & multiplication rule of probability for two events A & B.

(c) What is Standard Normal Distribution?

(d) What is discrete and continuous variable?

(e) What is auto-correlation?

(f) What are the components of a time series?

(g) What is Hurwicz Criteria in decision making?

14

Q.2 (a) Enlist different types of charts and graphs to display

1) Qualitative data

2) Quantitative data

07

(b) Calculate Karl Pearson?s coefficient of skewness from the data given below:

Hourly

Wages

(Rs.)

No. of

Worker

s

Hourly

Wages

(Rs.)

No. of

Worker

s

40-50 5 90-100 30

50-60 6 100-110 36

60-70 8 110-120 50

70-80 10 120-130 60

80-90 25 130-140 70

07

OR

(b) Find the mean, Median and Mode of the following data

07

Class

Frequenc

y

300-325 5

325-350 17

350-375 80

375-400 227

400-425 326

425-450 248

450-475 88

475-500 9

Page 2 of 3

Q.3 (a) Suppose that a decision maker is faced with three decision alternatives and

four states of nature. The following table shows the profit payoff.

Alternatives

States of nature

S1 S2 S3 S4

A1 16 10 12 7

A2 13 12 9 9

A3 11 14 15 14

Assuming that he does not have any knowledge of the of the probabilities of

occurrence of the states of nature, find the decisions to be recommended

under each of the following criteria

1) Maximin

2) Maximax

3) Minimax Regret

07

(b) The probability of a bomb hitting a target is 0.2. Two bombs are enough to

destroy a bridge. If six bombs are aimed at the bridge, find the probability

that the bridge is destroyed.

07

OR

Q.3 (a) A maker of soft drinks is considering the introduction of new brand. He

expects to sell 50,000 to 1,00,000 bottles of the new soft drink in a given

period according to the following probability distribution.

No. of bottles sold (in '000s) 50 60 70 80 90 100

Probability 0.13 0.20 0.35 0.22 0.08 0.02

If the product is launched he will have to incur a fixed cost of Rs. 48,000.

However each bottle sold would give him a profit of Rs. 1.25. Should he

introduce the brand?

07

(b) A manufacturer, who produces medicine bottles, finds that 0.1% of the

bottles are defectives. Bottles are packed in boxes containing 500 bottles. A

drug manufacturer buys 100 boxes from the producers of bottles. Using

Poisson distribution, find how many boxes will contain

1) No defectives.

2) At least 2 defectives.

07

Q.4 (a) Explain different types of correlations with the help of scatter diagrams.

07

(b) From the following data calculate price index numbers for 2010 with 2000 as

base year by 1) Paasche?s Method and 2) Marshall-Edgeworth method.

Commodities

2000 2010

Price Quantity Price Quantity

A 20 8 40 6

B 50 10 60 5

C 40 15 50 15

D 20 20 20 25

07

OR

Q.4 (a) Explain the assumptions of simple linear regression model

07

Page 3 of 3

(b) Calculate (i) three yearly & (ii) five yearly moving averages for the following

data:

Year y

1990 242

1991 250

1992 252

1993 249

1994 253

1995 255

1996 251

1997 257

1998 260

1999 265

2000 262

07

Q.5

A departmental store gives in-service training to its salesmen which is

followed by a test. It is considering whether it should terminate the services

of any salesman who does not do well in the test.

The following data shows the test scores and sales made by nine salesmen

during a certain period:

Test Scores 14 19 24 21 26 22 15 20 19

Sales ('000 Rs.) 31 36 48 37 50 45 33 41 39

a) Calculate the coefficient of correlation between the test scores and the

sales.

b) Estimate the most probable sales volume of a salesman making a score of

28.

OR

c) If the firm wants a minimum sales volume of Rs. 30,000, what is the

minimum test score that will ensure continuation of service?

d) Estimate what will be the score if a salesman has achieved a sales of Rs.

55,000.

7

7

7

7

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This post was last modified on 19 February 2020