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

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? WINTER 2018

Subject Code: 3519207 Date: 01/01/2019

Subject Name: Business Statistics (BS)

Time:10:30 am - 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 with examples

(a) Range of a data set

(b) Independent variable

(c) Mutually exclusive events

(d) Seasonal variation

(e) Median of ungrouped data

(f) Discrete random variable

(g) Relative Frequency

14

Q.2 (a) What is a Correlation? What are the types of Correlation? 07

(b) The prices of agricultural commodities for 2013 and 2016 for the month

of December are given below along with the quantities consumed

commodities in 2013.

Commodities

Prices (Rs.) Quantity (lbs.)

for 2013 2013 2016

Rice 20 40 8

Wheat 50 60 10

Jowar 40 50 15

Cotton (raw) 20 20 20

Calculate Laspeyre?s Index by keeping 2013 as base year.

07

OR

(b) Determine a regression line equation for the following two variables to

predict y from x:

07

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? WINTER 2018

Subject Code: 3519207 Date: 01/01/2019

Subject Name: Business Statistics (BS)

Time:10:30 am - 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 with examples

(a) Range of a data set

(b) Independent variable

(c) Mutually exclusive events

(d) Seasonal variation

(e) Median of ungrouped data

(f) Discrete random variable

(g) Relative Frequency

14

Q.2 (a) What is a Correlation? What are the types of Correlation? 07

(b) The prices of agricultural commodities for 2013 and 2016 for the month

of December are given below along with the quantities consumed

commodities in 2013.

Commodities

Prices (Rs.) Quantity (lbs.)

for 2013 2013 2016

Rice 20 40 8

Wheat 50 60 10

Jowar 40 50 15

Cotton (raw) 20 20 20

Calculate Laspeyre?s Index by keeping 2013 as base year.

07

OR

(b) Determine a regression line equation for the following two variables to

predict y from x:

07

Page 2 of 3

x 14 16 17 20 22 24 30 33 40

y 4 2 6 8 4 9 10 12 15

Q.3 (a) Explain three components of Time-series except Seasonal variation. 07

(b) Calculate Mean, Median, Variance and Standard Deviation for the

following data set.

12, 14, 10, 6, 7, 13, 10, 4

07

OR

Q.3 (a) Write a short note on Measures of Shape. 07

(b) Compute Paasche?s Index for the following data by keeping the year 1995

as base year.

Commodities

Quantity (units) Price (Rs.)

1995 2000 1995 2000

A 100 150 5 6

B 80 100 4 5

C 60 72 2.5 5

D 30 33 12 9

07

Q.4 (a) Explain the concept of Autocorrelation in detail. 07

(b) A company launches an advertising campaign of its new product on TV,

radio and in print media in an area where 30% watch TV, 50% listen to

the radio and the rest rely on news papers for all information. It is

estimated that a person who sees the advertisement on TV will buy the

product with probability 0.6. A person who has heard it on radio is

expected to buy the product with probability 0.3 and seeing the

advertisement in print will convince a person to buy the product with

probability 0.1. A consumer, chosen at random, is found to have

purchased the product. What is the probability she heard about the

product on radio?

07

OR

Q.4 (a) Discuss elements of Decision theory. 07

(b) Determine Karl Peasron?s co-efficient of correlation and also comment

on the relationship between two variables on the basis of the same.

07

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? WINTER 2018

Subject Code: 3519207 Date: 01/01/2019

Subject Name: Business Statistics (BS)

Time:10:30 am - 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 with examples

(a) Range of a data set

(b) Independent variable

(c) Mutually exclusive events

(d) Seasonal variation

(e) Median of ungrouped data

(f) Discrete random variable

(g) Relative Frequency

14

Q.2 (a) What is a Correlation? What are the types of Correlation? 07

(b) The prices of agricultural commodities for 2013 and 2016 for the month

of December are given below along with the quantities consumed

commodities in 2013.

Commodities

Prices (Rs.) Quantity (lbs.)

for 2013 2013 2016

Rice 20 40 8

Wheat 50 60 10

Jowar 40 50 15

Cotton (raw) 20 20 20

Calculate Laspeyre?s Index by keeping 2013 as base year.

07

OR

(b) Determine a regression line equation for the following two variables to

predict y from x:

07

Page 2 of 3

x 14 16 17 20 22 24 30 33 40

y 4 2 6 8 4 9 10 12 15

Q.3 (a) Explain three components of Time-series except Seasonal variation. 07

(b) Calculate Mean, Median, Variance and Standard Deviation for the

following data set.

12, 14, 10, 6, 7, 13, 10, 4

07

OR

Q.3 (a) Write a short note on Measures of Shape. 07

(b) Compute Paasche?s Index for the following data by keeping the year 1995

as base year.

Commodities

Quantity (units) Price (Rs.)

1995 2000 1995 2000

A 100 150 5 6

B 80 100 4 5

C 60 72 2.5 5

D 30 33 12 9

07

Q.4 (a) Explain the concept of Autocorrelation in detail. 07

(b) A company launches an advertising campaign of its new product on TV,

radio and in print media in an area where 30% watch TV, 50% listen to

the radio and the rest rely on news papers for all information. It is

estimated that a person who sees the advertisement on TV will buy the

product with probability 0.6. A person who has heard it on radio is

expected to buy the product with probability 0.3 and seeing the

advertisement in print will convince a person to buy the product with

probability 0.1. A consumer, chosen at random, is found to have

purchased the product. What is the probability she heard about the

product on radio?

07

OR

Q.4 (a) Discuss elements of Decision theory. 07

(b) Determine Karl Peasron?s co-efficient of correlation and also comment

on the relationship between two variables on the basis of the same.

07

Page 3 of 3

x 133 110 105 115 120 122 130 140 160 165

y 59 70 85 50 111 90 95 75 60 65

Q.5

ELECTRA LMIMITED is the manufacturer of electrical equipment to be

used in the production of automobiles. The average life-time of the

equipment is 80 hours with a standard deviation of 16 hours. The life-

times are normally distributed.

(a) What is the probability that the equipment has a life-time of more than

120 hours?

07

(b) What is the probability that the equipment has a life-time between 90 and

100 hours?

07

OR

Q.5 (a) What is the probability that the equipment has a life-time of less than 65

hours?

07

(b)

What is the probability that the equipment has a life-time between 50 and

75 hours?

07

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This post was last modified on 19 February 2020