Loyola College B.Sc. Statistics April 2004 Applied Statistics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI –600 034

B.Sc., DEGREE EXAMINATION – STATISTICS

  FIFTH SEMESTER – APRIL 2004

ST 5502/STA 507 – APPLIED STATISTICS

12.04.2004                                                                                                           Max:100 marks

1.00 – 4.00

SECTION – A

 

Answer ALL questions                                                                                (10 ´ 2 = 20 marks)

 

  1. What is the purpose of constructing index numbers?
  2. How do you select base period while constructing index numbers?
  3. Distinguish between seasonal variations and cyclical fluctuations.
  4. What do you understand by the term moving average? How is it used in measuring trend?
  5. Given the following values:

r23 = 0.4,  r13 = 0.61,   r12  = 0.7

Find the partial correlation coefficient r12.3.

  1. Define multiple correlation and give an example.
  2. Distinguish between crude and specific death rates.
  3. Describe the significance and importance of a life table.
  4. What are De-Jure and De-Facto enumeration in population census?
  5. Write a brief note on National Institute of Agricultural Marketing.

 

SECTION – B

Answer any FIVE questions                                                                        (5 ´ 8 = 40 marks)

 

  1. Calculate price index using Fisher’s ideal formula from the following data:
2002 2003
Commodity Price Quantity Price Quantity
A 10 50 12 60
B 8 30 9 32
C 5 35 7 40
  1. A textile worker in Chennai earns Rs.3500 per month. The cost of living index for a particular month is given as 136.  Using the following data, find out the amounts he spent on house rent and clothing:
Group: Food Clothing House rent Fuel and lighting Misc.
Expenditure: 1400 560 630
Group index: 180 150 100 110 80
  1. Fit a curve of the type Y = abX to the following data and estimate for 2004.

Year:                     1999         2000           2001        2002            2003

Population:            132            142            157          170              191

(in 1000 tons)

  1. Describe one method each of i) eliminating the effect of trend from a time series and ii) measuring the seasonal variations.
  2. In a trivariate distribution, it was found:

r12 = 0.7           s1 = 3

r23 = 0.4           s2 = 4

r31 = 0.61         s3 = 5

Find the regression equation of X1 on X­2 and X3, when the variables are measured from their means.

 

 

  1. Compute gross reproduction rate and net reproduction rate from the data given below:
Age-group Female Population Female births Survival rate
15-19 13,000 300   0.9
20-24   9,000 630 0.89
25-29   8,000 480 0.88
30-34   7,000 280 0.87
35-39   6,000 150 0.85
40-44   5,000   35 0.83
  1. Write an elaborate note on population census.
  2. Explain in detail the developments in Fisheries and point out the welfare programmes available for Traditional Fishermen.

 

SECTION – C

 

Answer any TWO questions                                                                        (2 ´ 20 = 40 marks)

 

  1. a) By giving suitable examples, explain
  2. Splicing of index numbers
  3. Deflating of prices and income          (4+4)
  4. b) Show that Fisher’s formula satisfies both time reversal and factor reversal tests using

the following data:

              Base year        Current year
Commodity Price Quantity Price Quantity
A 4 3 6 2
B 5 4 6 4
C 7 2 6 2
D 2 3 1 5

(6+6)

  1. Compute seasonal indices by the ratio to moving average method from the following data:
                                                Year
Current production in 1000 tons Quarter 2000 2001 2002 2003
I 75 86 90 100
II 60 65 72 78
III 54 63 66 72
IV 59 80 85 93

 

  1. a) Calculate the multiple correlation coefficient of X1 on X2 and X3 from the following

data:

1: 5 3 2 4 3 1 8
X2: 2 4 2 2 3 2 4
X3: 21 21 15 17 20 13 22

(12)

  1. b) For the problem in (a), test the significance of the population multiple correlation at 5%

level of significance.                                                                                                      (8)

 

  1. a) Define vital statistics. What is the importance of these statistics?                              (5)
  2. b) Distinguish between Age specific fertility rate and General fertility rate. (5)
  3. c) Given the age returns for the two ages x = 9 years and x+1 = 10 years with a few life – tale values as = 75,824, = 75,362, d10 = 418 and T10 = 49,53,195. Give the complete life-table for two ages of persons.                                                      (10)

 

 

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