BBS-First-Year-Business-Statistics-MGT202-Model-Question-2020-TU-Set-B-Download-PDF
TRIBHUVAN UNIVERSITY
Faculty Of Management
Office Of The Dean
BBS / 4 Years Programme / First year / MGMT
Business Statistics ( MGT 202 )
Full Marks :100
Pass Marks : 35
Time : 3 hrs.
MODEL QUESTION – 2020
Set - B
Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.

Group ‘A’

Brief Answer Questions.
Attempt All Questions. (10X2=20)
1. The mean of marks in Statistics of 100 students in a class was 72. The mean of marks of 70 boys was 75. Find out the mean marks of girls in the class.
Also Check:
BBS First Year Business English Model Question 2019-2020 | TU | Download in PDF.

3. In a single throw of two dice, what is the probability of getting the same numbers on both dice ?

4. The personnel director for Nepal Drug Limited recorded the average percentage absentee rates for each quarter for a 4 years period are 55, 67.5, 62.5 and 53,find the seasonal indices.

5. The coefficient of variation of a symmetrical distribution is 9 % and mean of the distribution is 40. Find the value of standard deviation and variance.

6. What do you mean by five number summary?What is its application in statistics ?

7. Reconstruct the following index number by shifting the base year as 2053.

Year

2049

2050

2051

2052

2053

2054

2055

Index Number

100

115

126

134

147

155

163

8. From the following pay- off table, find the best strategy if (i) Maximax criteria is applied (ii) Maximin criteria is applied.

PAY-OFF TABLE

 

N1

N2

N3

S1

200

50

40

S2

100

60

30

S3

40

30

10

9. For eight pairs of observations on two variables sales ( X ) and Pricing ( Y ) , the following results were obtained.
Σ = 156 , Σ = 132 , Σ = 4162 , Σ = 2434 , Σ = 2884
Find out if there exists any relationship between sales and pricing.
10. Find the adjoint matrix of the matrix given below.
1 − 2
3    7

Group ‘B’

Descriptive Answer Questions.
Attempt any FIVE Questions.. (5X10=50)

11. The average weekly wages, standard deviations and number of workers of two factories are given below.

 

Factory A Factory B
Average weekly wage Rs. 4600 Rs. 4900
Standard Deviations Rs. 50 Rs. 40
Number of workers 100 80
Calculate the mean and variance of weekly wage of all workers taken together.
Which factory has greater variability in the distribution of weekly wages?
Justify your result with appropriate Statistical tool.

12. Differentiate between “Census” and “Sampling” method of data collection. Why sampling method is suitable to collect data from large population?

13. (a) Solve the following linear programming problem using graphical method.
Maximize Z = 30 x + 50 y
Subject to constraints:
x + y ≤ 30
x + 2y ≤ 40
x , y ≥ 0
(b) A manufacturing company has 1,000 employees. 10 % of the employees earn less than Rs. 500 per day , 200 earn between Rs. 500 and Rs. 999 , 30 % earn between Rs. 1000 and Rs. 1,499 , 250 employees earn between Rs. 1,500 and Rs. 1,999 and rest earn Rs. 2,000 and above. Calculate the suitable average wage. Also give the reason for your choice of average.

14. Calculate the index number by using suitable formula for 1985 on the basis of 1980 from the following information :
Year Product X Product Y Product Z
Price Quantity Price Quantity Price Quantity
1980 4 54 3 10 2 5
1985 10 40 8 8 4 5
15. (a) Prove the following by using properties of determinants.
1 1 1
= ( a- b)( b- c )(c- a )( a+ b +c )
( b ) Solve the following equations by using Matrix method.
-x + 3y = 5
2 x – 4 y = 0

16. From the following data compute Bowley’s coefficient of skewness and interpret your result.
Income(00 Rs.) Below 200 200-400 400-600 600-800 800-1000 1000 & above
No. of families 25 40 80 75 20 16

Group ‘C’

Analytical Answer Questions.
Attempt any TWO Questions. (2X15=30)

17. The following table represents the annual trend of net profit of two different companies seeking investment for their development project. As an investment advisor, in which company would you suggest to invest money ? Justify your answer by using necessary statistical tools.

Year

Net Profit (in million Rs.)

Company - A

Company - B

2007

16

16

2008

32

16

2009

40

22

2010

24

36

2011

40

40

2012

32

44

2013

88

48

18. From the following bi-variate frequency tabl , find out if there exists any relationship between advertisement expenditure (in 00 Rs.) and sales revenue ( in 000 Rs.) and test the significance of the result. Also estimate sales revenue when advertisement expenditure is Rs. 40,000.

Advertisement

Expenditure (in 00 Rs.)

Sales Revenue ( in 000 Rs. )

0 - 50

50 - 100

100 - 150

150 - 200

200 - 250

0 - 40

12

6

8

-

-

40 - 80

2

18

4

5

1

80 – 120

-

8

10

2

4

120 - 160

-

1

10

2

1

160 - 200

-

-

1

2

3

19. Under an employment promotion programme , it is proposed to allow sale of newspapers on the business during peak hours. A newspaper boy has the following probability of selling a magazine.

No. of copies sold

10

11

12

13

14

Probability

0.10

0.15

0.20

0.25

0.30

Cost per copy of magazine is Rs. 30 and sale price per copy is Rs. 50. He cannot return unsold copies where salvage value is zero.
a. Calculate the expected monetary value ( EMV ) for each strategy.
b. How many copy should be ordered ?
c. Compute expected profit with perfect information ( EPPI ).
d. Also calculate expected value of perfect information ( EVPI ).
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