Indira Gandhi National Open University (IGNOU) 2007 B.A Economics ELEMANTARY STATISTICAL METHODS - Question Paper

.
l. {i)
part A
obtain out the normal equations for the regression
m o d e l Y : c r , + F X .
(ii) Estimate the parameters of the
subsequent data :
above model for the
70+70
Y T7 2A 22 28 32 32 35 36 38 4A
X seven nine L0 L1 T4 15 18 20 22 24
EEC-3 P.T.O.
3.
4.
2. (i) elaborate the important features of normal
distribution ?
(ii) In a sample of 100 households the mean and
standard deviation of monthly income are Rs. 250
and Rs. 40 respectively. obtain the percentage of
households with income ranging from Rs. 200 and
Rs. 350. (The area under standard normal curve when
z equals L'25 is 0.3944 and when z equals 2.5 is
0.4939.) 70+70
Distinguish ranging from Primary data and Secondary data.
elaborate the factors you need to keep in mind while
collecting primary data ? Z0
discuss the 'ratio to moving average' method to measure
seasonal variations in quarterly time series data. 20
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5.
part B
An insurance company insured 2000 scooter drivers, 4000
car drivers and 6000 truck drivers. The probability of an
accident is 0'01, 0'03 and 0. 15 for scooter drivers, car
drivers and truck drivers respectively. 1 of the insured
drivers meets with an accident. What is the probability that
the fierson is a scooter driver ?
discuss the concepts of sampling distribution of a statistic
and its standard fault.
What is the difference ranging from stratified sampling and
cluster sampling ? Take a hypothetical example and discuss
the steps followed in drawing of a stratified random sample.
A machine is generally known to be producing 20 percent
defective items. A quality control inspector chooses five items
at random. obtain the probability of getting (i) exactly two
defective iteffis, and (ii) at lowest 3 defective items.
6.
12
12
7 . discuss the steps you will follow in construction of a cost
of residing index number for consumers in an urban area. 12
8.
/ s
12
12
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part C
I O. A fair coin is tossed 20 times. obtain the mean and variance
of the number of heads found.
11. discuss the difference ranging from a histogram and a bar
diagram. 8
12. A, B, and C begin a business with investments of Rs. 8,000,
Rs. 10,000 and Rs. 12,000 respectively. At the end of the
year they get a profit of Rs. 5,000 which they distribute
according to their investments. Show their profits through
a pie-chart. I
13. discuss the concepts of confidence interual and level of
I significance.
t"
I::j|;l,
correlation coefficient is independent of origin
:
j
15. Write a short note on limitations of secondary data.

Earning:   Approval pending.