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

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

NO 26

 

FIFTH SEMESTER – APRIL 2008

ST 5502 – APPLIED STATISTICS

 

 

 

Date : 03/05/2008                Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

SECTION – A      ( 10 x 2 = 20 Marks)

Answer ALL questions.

 

  1. What is an index number? What are its uses?
  2. What is meant by splicing an index number?
  3. Define a Time series and give examples.
  4. Describe semi-average method of measuring trend.
  5. Define crude and specific death rates.
  6. Define Pearle’s Vital index in the measurement of population growth.
  7. Define partial correlation coefficient.
  8. Give a formula for multiple correlation coefficient R1.23.
  9. What is meant by Economic Census?
  10. Write a note on live stock statistics.

 

 

SECTION – B     (5 x 8 = 40 Marks)

Answer any FIVE questions.

 

  1. Discuss the steps involved in the construction of cost of living index number.
  2. The prices of six commodities in the years 2001 and 2005 are given below.  Compute the price index based on price relatives using the arithmetic mean.

 

 

Commodity
Year A B C D E F
2001 90 120 40 100 170 240
2005 110 140 60 150 180 260

 

  1. What are the components of time series? Explain them.
  2. Compute the linear trend by the method of least squares given the following data.  Estimate the trend for the year 2009.

 

Year 2002 2003 2004 2005 2006 2007
Sales(Lakhs) 75 83 109 129 134 148

 

  1. Describe the components of a Life Table.
  2. Explain the Gross and Net Reproduction Rates.
  3. Discuss the functions of National  Sample Survey Organisation.
  4. Given the values of  r12=0.8, r13=0.6 and r23=-0.7, compute the values of r23.1 and r13.2.

 

 

 

 

 

SECTION-C     (2 x 20 = 40 Marks)

Answer any TWO questions.

 

  1. (a). What are the properties to be satisfied by a good index number?  Explain them in detail.

(b). The index numbers for the years from 1992 to 2002 are given below.  Compute the chain base index numbers.

 

Year 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002
Index 100 120 122 116 120 120 137 136 149 156 137

 

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

(b). The following table gives the prices of a spare part of a car for the period of five years.  Using the method of Link relatives, compute the Seasonal indices.

 

Quarter/Year 1990 2000 2001 2002 2003
I 30 35 31 31 34
II 26 28 29 31 36
III 22 22 28 25 26
IV 31 36 32 35 33

 

  1. (a). Compute the General Fertility Rate, Specific Fertility Rate, Total Fertility Rate and the Gross Reproduction Rate from the following table.

 

 

Age group of Child bearing females 15-19 20-24 25-29 30-34 35-39 40-44 45-49
Number of women(‘000) 16.0 16.4 15.8 15.2 14.8 15.0 14.5
Total births 260 2244 1894 1320 916 280 145

 

 

(b). In the usual notation, derive the multiple regression equation of X1 on X2 and X3.

 

  1. (a). Write short notes on shifting and deflating index number.

(b). Discuss the methods of National Income estimation.

(c). Given the age returns for the two ages x=9 years and x+1=10 years with l9=75,824, l10=75,362, d10=418 and T10=49,53,195, complete the entries of the life table for the two ages.

 

 

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