M.Com. (Semester IV) Examination Oct/Nov-2017
ADVANCED STATISTICS
(Industrial Statistics and Demography)
Day Date: Friday, 17-11-2017 Max. Marks: 50
Time: 02.30 PM to 04.30 PM
Instructions: All questions are compulsory.
Each question carries equal marks.
Figures to the right indicate full marks.
Use of calculator is allowed.
Q.1 Choose the alternatives given below. 10
If the decision about accepting or rejecting a lot is taken on the basis of one
sample only, the acceptance sampling plan is described as
Sequential sampling plan Double sampling plan
Single sampling plan None of these
The basic problem in administrating a single sampling plan is the choice of
n sample size C acceptance number
Both a b None of these
Double sampling plan was propounded by
Water A Schwartz Dode and Romig
R. A. Fisher None of these
Which of the following sampling plans provides for maximum amount of
inspection?
Single sampling plan Double sampling plan
Sequential sampling plan None of these
Which of the following Mortality Rates is the probability rate?
CDR SDR
STDR None of these
Which of the following fertility rates is useful for comparison of fertilities in
different two regions?
CBR GFR
TFR None of these
Which of the following mortality rates is useful for overall comparison of
mortalities in different two region?
CDR SDR
STDR None of these
In a demography
GRR NRR GRR NRR
GRR NRR None of these
Which of the following population growth rates considers survival factor?
Pearl's vital index GRR
NRR None of these
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10) Which of the following takes into account the sex of new born babies and
weight ages is given to female babies?
TFR GRR
STDR None of these
Q.2 Describe a single sampling plan. 05
Compute the CDRs and STDRs of the two populations A and B regarding A
as standard population from the following data.
05
Age group
(years)
A B
Population Deaths Population Deaths
Under 10 20000 600 12000 372
10 20 12000 240 30000 660
20 40 50000 1250 62000 1612
40 60 30000 1050 15000 525
60 above 10000 500 3000 180
Q.3 Write short notes on GFR and CBR with merits and demerits. 05
Construct a single sampling plan for attributes given the following data. 05
AQL 0.05,
Producers Risk 0.05,
LTPD 0.20
Consumers risk 0.10
Q.4 Attempt any one of the following. 10
Describe in detail double sampling plan, how will you obtain OC, LTPD
ASN for it.
What is a life table? Give the meanings of different and columns of life table.
How will you construct it?
Q.5 Attempt any one of the following. 10
What is an acceptance sampling plans?
Draw O.C. Curve, AOQ Curve and obtain AOQL. Also draw ASN Curve for
the following Single Sampling plan,
N 2000, n 150, c
Stating various rates of fertility describe one of them in detail.
Compute:
GFR
TFR and
GRR from the data given below.
Age of child
bearing females
15-19 20-24 25-29 30-34 35-39 40-44 45-49
No. of women
(1000)
16.0 16.4 15.8 15.2 14.8 15.0 14.5
Total births 260 2244 1894 1320 916 280 145
Assumes that the proportion of female births is 46.2%.