M.Com (Semester IV) (CBCS) Examination Nov/Dec-2018
ADVANCED STATISTICS (Paper III)
Industrial Statistics and Demography
Time: 2½ Hours Max. Marks: 70
Instructions: All questions are compulsory.
Figures to the right indicate full marks.
Each question carries equal marks.
Use of calculator is allowed.
Q.1 Choose the alternatives given below. 14
The producer's risk means the probability that the consumer will
accept a good lot reject a good lot
reject a bad lot accept a bad lot
A decision rule to accept or reject a lot based on the results of one
random sample is called a
single sampling plan double sampling plan
random sampling plan none of these
In a double sampling plan, if the number of defectives is in between two
cut off numbers c1 and c2 then
accept the lot reject the lot
take another sample none of these
A graphic display of the performance of a sampling plan, showing the
probability of accepting the lot for a range of proportions is called
AOQ curve OC curve
Normal curve ASN curve
The basic problem in administrating a single sampling plan is
choice of sample size choice of acceptance number
both and neither nor
Fertility rate mainly depends on
number of male births number of female births
total number of births none of these
The ratio of births to total deaths in a year is called
survival rate total fertility index
vital index population death rate
The value of NRR greater than one is an indication of
increase in population decrease in population
stable population none of these
Denominator is the formula of GFR is
total male population in a specified year
total female population in a specified year
total population in a specified year
total female population in the reproductive age group
10) In usual notations of life table




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SLR-CS-46
11) Which of the following is a probability rate?
CDR GFR
Both and Neither nor
12) The crude rate of natural increase is defined as
CDR-CBR CBR-CDR
CDR/CBR
d)CDR/CBR
13) A typical life table has generally columns.
8 9
10 11
14) In usual notations of life tables,
0
−


Q.2 Define CDR and state its merits and demerits as a measure of mortality. 07
Define CBR and GFR. Explain how GFR is superior to CBR. 07
Q.3 Explain the terms: 07
AQL
LTPD
Write short notes on the following: 07
Pearle's vital index
Operating characteristic curve
Q.4 Attempt any one of the following: 14
State the meanings of various columns of a life table and explain how a
life table can be constructed from data usually available. Fill in the blanks
of the following table which are marked with question mark.
Age x
30 762227 27296632
31 758580
Define STDR. From the following data compute STDR for populations A
and B.
Age group
Population A Population B
Standard
Population Population
No. of
deaths
Population
No. of
deaths
0-10 5000 35 3000 33 3000
10-50 10000 45 10000 100 7000
50 above 5000 90 7000 84 6000
Q.5 Attempt any one of the following: 14
Describe the method of double sampling plan. Interpret the following
double sampling plan: Given n1 30, c1 n2 50, c2 2 and N 1000
Calculate GFR, TFR, GRR and NRR for the following data:
Age group 15-19 20-24 25-29 30-34 35-39 40-44 45-49
Female population 16000 15000 14000 13000 12000 11000 9000
No. of births 400 1710 2100 1391 960 330 36
Survival rate 0.95 0.94 0.92 0.90 0.88 0.87 0.85
Assume ratio of male births to female births is 13:12.