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 R_1.23.
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 r_23.1 and r_13.2.

 

 

 

 

 

SECTION-C     (2 x 20 = 40 Marks)

Answer any TWO questions.

 

19. (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

 

21. (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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