Loyola College B.Sc. Statistics Nov 2003 Applied Statistics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI– 600 034

B.Sc. DEGREE EXAMINATION  –  STATISTICS

Fifth  SEMESTER  – NOVEMBER 2003

ST 5502/STA 507 APPLIED STATISTICS

07.11.2003                                                                                        Max: 100 Marks

1.00 – 4.00

 

SECTION A                                                         

Answer ALL the questions.  Each carries TWO marks.                   (10 ´ 2 = 20 Marks)

  1. Distinguish between weighted and unweighted Index numbers.
  2. What do you mean by splicing of Index numbers?
  3. How do you eliminate the effect of trend from time series and measure seasonal variations?
  4. Distinguish between seasonal variations and cyclical fluctuations.
  5. Given the data: rxy =0.6 rxz = 0.4, find the value of ryz so that Ryz , the coefficient of multiple correlation of x on y and z, is unity.

 

  1. Explain briefly the significance of the study of multiple correlation in statistical analysis.

 

  1. Define Vital statistics. What is the importance of these statistics?
  2. What are crude and standardised death rates? Why is comparison on the basis of standardised death rates more reliable?

 

  1. Write a short rote on De-Facto and De-Jure enumeration.
  2. Give that the complete expectation of life at ages 35 and 36 for a particular group are respectively 21.39 and 20.91 years and that the number living at age 35 is 41,176, find the number that attains the age 36.

 

SECTION B

Answer any FIVE questions.  Each carries eight marks.                (5 ´ 8 = 40 Marks)

 

  1. An enquiry into the budget of the middle class families in a certain city in

India gave the following information.

 

Expenses on Food Fuel Clothing  Rent Misc.
40% 10% 18% 20% 12%
Prices (2001) (in Rs.)

 

2250 600 1000 1500 700
Price (2003) 2500 900 1100 1600 800

 

What changes in cost of living figures of 2003 as compared with that

of 2001 are seen?

 

 

 

 

 

 

  1. Obtain the trend of bank clearance by the method of moving averages by

assuming a 5 -yearly cycle:

 

Year 1991 92 93 94 95 96
Bank clearance

(in crores)

53 79 76 66 69 94
Year 1997 98 99 2000 01 02
Bank clearance

(in crores

105 87 79 104 97 92

 

Also, draw original and trend lines on the graph and compare them.

 

  1. Production of a certain commodity is given below:

 

Year 1999 2000 2001 2002 2003
Production (in lakh tons) 7 9 10 7 5

 

Fit a parabolic curve of second degree to the production.

Estimate the production for 2004.

 

  1. The following means, standard deviations and correlations are found for

X1= seed hay crop in kgs. per acre, X2 = spring rainfall in inches,

X3 = Accumulated temperature above 42°F.

 

r12  = 0.8

r13  = – 0.4

r23   = – 0.56

 

Number of years of data = 25

Find the regression equation for hay crop on spring rainfall

and accumulated temperature.

 

  1. a) It is possible to get: r12 = 0.06, r23 = 0.8 and r13 =  -5 from a set of

experimental data?                                                                                     (3)

  1. If all the correlation coefficients of zero order on a set of p variates are

equal to  then show that every partial correlation coefficient of the sth

order is                                                                                             (5)

 

  1. a) Given the age returns for the two ages x = 9 years and x +1 = 10 years with

a few life-table values as l9 = 75,824, l10 = 75,362, d10 = 418 and

T10 = 49,53,195. Give the complete life-table for the ages of persons.       (5)

  1. b) In what way, does the construction   of an abridged life-table differ

from a complete life-table?                                                                          (3)

 

 

 

 

 

 

  1. What are the current research developments and landmarks in

agricultural statistics?

 

  1. Explain in detail the different methods of measuring National Income.

 

 

SECTION C         

Answer any TWO questions.  Each carries twenty marks.      (2 ´ 20 = 40 Marks)

 

  1. a) Using the following data, construct Fisher’s Ideal Index number

and show how it satisfies  Time Reversal and Factor Reversal tests:

 

 

Commodity

Base year Current year
Price Quantity Price Quantity
A 6 50 10 56
B 2 100 2 120
C 4 60 6 60
D 10 30 12 24
E 8 40 12 36

(12)

  1. What are Index numbers? How are they constructed? Discuss the

applications of Index numbers.                                                                 (8)

 

  1. Calculate the seasonal variation indices by the method of link relatives for

the following figures.

 

Year Quarterly cement  production in 1000 tons
Q1 Q2 Q3 Q4
1998 45 54 72 60
1999 48 56 63 56
2000 49 63 70 65
2001 52 65 75 73.5
2002 63 70 84 66
  1. For the following set of data:
  2. Calculate the multiple correlation coefficientand the partial correlation coefficient .
  3. Test the significance of both population multiple correlation coefficient and partial population correlation coefficient at 5% level of significance.

 

Y 10 17 18 26 35 8
X1 8 21 14 17 36 9
X2 4 9 11 20 13 28

 

(10+10)

 

 

 

 

 

 

 

 

  1. The population and its distribution by sex and number of births in a

town in 2001 and survival rates are given in the table below.

 

Age group Males Females Male births Females births Survival rate
15  -19 6145 5687 65 60 0.91
20 – 24 5214 5324 144 132 0.90
25 – 29 4655 4720 135 127 0.84
30 – 34 3910 3933 82 81 0.87
35 – 39 3600 2670 62 56 0.85
40 – 44 3290 3015 12 15 0.83
45 – 49 2793 2601 3 3 0.82

 

 

From the above data, calculate

 

  1. i) Crude Birth Rate
  2. ii) General fertility  rate

iii)   Age specific fertility  rate

  1. iv) Total fertility rate
  2. v) Gross reproduction rate and
  3. vi) Net reproduction rate; assuming no mortality.           (2 +2 + 4 + 2 + 5 +5)

 

 

Go To Main page

Latest Govt Job & Exam Updates:

View Full List ...

© Copyright Entrance India - Engineering and Medical Entrance Exams in India | Website Maintained by Firewall Firm - IT Monteur