Old Exam Papers June 2012 (Set 2)

3. "It is never safe to take published statistics at their face
value without knowing their meaning and limitations and it
is always necessary to criticize arguments that can be
based on them." Discuss the statement.
4. Simplify the following distribution and determine mean,
mode and median and give your comment :
X f
10-20 5
20-30 7
30-40 10
upto 40 24
40-50 52
Above 50 24
50-60 10
60-70 ?
70-80 5
80-90 2
5. Write a note on techniques of decision-making under
conditions of uncertainty and risk.
6. (a) A card is drawn out of a pack of cards. Find the
probability that the card is an ace, a king, a queen
or a card of clubs.
(b) Ravindra gives 7 wrong statements out of 10
statements and Davendra 9 wrong once out of 10.
Find the probability of their giving contradictory
statments in stating the same fact.
7. What is the Chi Sqaure ( 2 ) test of goodness of fit ? What
precautions are necessary in using this test ?
8. In a random sample of 2,100 persons from Jaipur 1,260
persons are found to be honest. In another random sample
of 4,000 persons from Varanasi 2,360 persons are found
to be honest. Do the data indicate at 1 percent level of
significance that (a) the two cities are different with
respect of honesty ? (b) the persons of Jaipur city are
more honest as compared to Varanasi ? [table value of
1% 2.58 and at one tail - 2.33].
9. What is seasonal variation of a time series ? Describe the
600 2 MS-08 MS-08 3 PTO