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

Note : Attempt 2 ques. from part A, 4 from
part B and 2 from part C.
part A
Attempt atny 2 guestions from this part.
I
1. What is the difference ranging from point estimation and intenal
I estimation ? Dscuss the steps you would like to follow for
J
I "utrytng
on tests through these 2 techniques. 20
2. (i) describe a standard normal variate. Use it to write the
normal probability function of X zuccesses and the
exwcted lreguency function of X successes under
Normal Distribufion [aw. Comment on the features of
normal dishibution curve.
_ EEC-I three P.T.O.
3.
4.
(ii) The mean height' of students in the x class of a
school is obtained to be 68.22 inches with a variance of
10'8 inches. If there are 1000 students in the
class, how many of them are expected to be over
72 inches ? You are told that heights are normally
distributed and provided a value 0 < z I 1. lb : 0.37 49.
elaborate the important techniques of survey used for
primary data collection ? explain the steps you would like
to follow for data collection through questionnaire method.
(i) provide an intuitive interpretation of Bay's theorem of
probability. State and prove the theorem.
(ii) If you draw a card from a pack of 52 cards, obtain the
probability that it is (a) an ace, (b) an ace provided that it
is a red card.
20
20
20
EEC- one 3
part B
' :
ans any 4 guestions from this part. :
5. From the subsequent data obtain the lines of regression : 10
X one two three four five 5 seven eight 9
Y nine eight 10 L2 11 13 L4 L6 15
6. There are 5 elements (2 , 4, 6, eight and 10) of which three
are to be picked, Hp with sampling without replacement. Get
the frequency distribution of sample means and probabilities
of the means of the opted elements. 10
HH: ?:ffii1Hff:ff'.":ffi T-ffit ::
defective in a sample of 100. use Poisson distribution and
e three : 0'04979.
I
probability of getting (a) exactly 2 heads, (b) at lowest six
, heads ? I
9. Prove using mathematical expectation
E(X + Y) : E(X) + E(Y)
10
10
10
_ EEC-13 P.T.O,
I O. The subsequent table provide the distribution of the age of
teachers in a school. compute the coefficient of variation. 10
Age Frequency
15 L9 3
20 24 13
25 29 2T
30 34 15
35 39 5
40 44 4
45 49 2
EEC- one 3
part C
ans any 2 questiLons from this part.
I l. (i) compute laspeyre's price index from the subsequent
data :
L996 2006
Base year Current year
Price
(Rs.)
Quantity
(kg)
Price
(Rs.)
Quantity
(kg)
o 20 seven 25 9
P 42 six 40 8
a 30 L7 25 4
R eight 15 L4 10
S 10 eight 13 5
(ii) If the mid-year population and number of births
occurred in a place in 2000 are provided as 50,000 and
1,000 respectively, obtain the crude birth rate. 5+5
12. (i) Determine the correlation coefficient ranging from X and
Y of the subsequent data :
X five seven nine 11 13 15
Y 1.7 two four 2.8 3,4 4.4
EEC- one three P.T.O.
(ii) obtain the pattern of the subsequent data using 3-yearly
moving avg.. 5+5
13. (i) provided beneath is a
various levels of
histogram.
frequency distribution based on
ozone concentration. Draw its
Class interval Frequency
0.05 2.05 7
2-05 4.05 L9
4.05 6.05 31
6.05 L7
8.05 10.05 3
10.05 12.05 1
(ii) Prove that the mean of deviations from mean is zero.
Year Value
1 2
2 3
3 1
4 6
5 5
6 10

Earning:   Approval pending.