Loyola College B.Sc. Statistics Nov 2008 Applied Statistics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

   B.Sc. DEGREE EXAMINATION – STATISTICS

BA 12

 

FIFTH SEMESTER – November 2008

ST 5502 – APPLIED STATISTICS

 

 

 

Date : 07-11-08                     Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION – A      ( 10 x 2 = 20 Marks)

Answer ALL questions.

 

  1. Define an index number.  Mention its uses.
  2. Discuss the concept of deflating an index number.
  3. Define a Time series and give examples.
  4. List down different methods of measuring trend.
  5. Define total and specific fertility rates.
  6. Specify Pearle’s Vital index in the measurement of population growth.
  7. Define multiple correlation coefficient.
  8. Write down the formula for partial correlation coefficient r12.3.
  9. What is meant by financial statistics?
  10. Write a note on live stock statistics.

 

SECTION – B     (5 x 8 = 40 Marks)

Answer any FIVE questions.

 

  1. What are the steps to be followed in the construction of consumer price index number?
  2. The following table gives the quantities and prices of five commodities for two periods.  Compute the quantity and the price indices using Fisher’s formula.

 

Commodity Base Year Current Year
Quantity Price Quantity Price
A 6 5 8 6
B 8 3 10 2
C 12 2 10 4
D 2 8 2 7
E 5 9 6 9
  1. What are the components of a time series? Explain them.
  2. The following data gives the yearly sales of a product.  Compute the linear trend by the method of least squares.  Estimate the trend for the year 2008.

 

Year 2001 2002 2003 2004 2005
Sales(Lakhs) 26 30 38 50 56

 

  1. What are the components of a Life Table.  Explain them.
  2. Explain the Gross and Net Reproduction Rates.
  3. Discuss the functions of Central Statistical Organisation (CSO).
  4. Given the values of  r12=0.8, r13=0.7 and r23=0.9, compute the values of R1.23 and 2.31.

 

 

 

 

SECTION-C     (2 x 20 = 40 Marks)

Answer any TWO questions.

 

  1. (a). Discuss the unit test, time reversal test, factor reversal test and the circular test associated with index numbers.

(b). Construct the wholesale price index number for the years 2007 and 2008 given the following data.

 

Commodity Wholesale price in rupees per quintal
2006 2007 2008
I 140 160 190
II 120 130 140
III 100 105 108
IV 75 80 90
V 250 270 300
VI 400 420 450

 

  1. (a). Discuss various methods of measuring Seasonal indices in Time series.

(b). The following table gives the cost of an item for the period of five years.  Using the method of Link relatives, compute the Seasonal indices.

 

Quarter Year
2001 2002 2003 2004 2005
I 60 62 65 70 72
II 65 68 70 75 80
III 62 65 64 68 70
IV 69 68 62 67 78

 

  1. (a). Compute the crude and standardized death Rates of the two populations X and Y regarding X as the standard population.

 

Age group Under 10 10-20 20-40 40-60 Above 60
Population  in X 20000 12000 50000 30000 10000
Deaths in X 600 240 1250 1050 500
Population in Y 12000 30000 62000 15000 3000
Deaths in Y 372 660 1612 325 180

 

 

(b). Derive the multiple regression equation of X1 on X2 and X3 in the usual notation.

 

  1. Write short notes on the following
  • Partial and mulitiple correlations.

(ii)  Discuss the methods of National Income estimation.

(iii) Economic census and labour statistics.

 

 

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