problem 1)a) “Statistics are not mainly the records of the past but they are useful in the planning of future. Describe the statement and describe the role of statistics in economic planning.
b) The data given below is related to Industrial and Agricultural production of some years. Represent them in Multiple Bar Diagram.
Year: 1970 1971 1972 1973 1974
Industrial Production (Lacs): 8 10 13 18 20
Agricultural Prouctionn (Lacs): 5 8 10 14 15
problem 2)a) Determine the mode from the following:
Marks: 0-20 20-40 40-60 60-80 80-100 100-120 120-140
Frequency: 8 6 18 12 12 17 7
b) Draw Pie diagram from the following:
Item: Labour Bricks Cement Steel Wood Supervision
Expenditure: 25 15 20 15 10 15
problem 3)a) Determine standard deviation, its co-efficient and co-efficient of variation:
C - I: 0-8 8-16 16-24 24-32 32-40 40-44
Frequency: 15 17 28 21 14 5
b) What are sampling methods? Describe the probability and non-probability sampling:
problem 4)a) Determine co-efficient of correlation:
X: 23 27 28 29 30 31 33 35 36 39
Y: 18 22 23 24 25 25 28 29 30 32
b) Construct two regression equations from the following:
A : 15 18 25 35 40 32 35 42 50 6
B : 12 20 40 30 45 46 30 48 15 2
problem 5)a) Describe meaning and properties of probability.
b) Define with exs.
i) Event
ii) Sample Space
iii) Union of two events
problem 6)a) Describe properties of t-distribution.
b) IQ test was administered to 5 persons:
Candidates: I II III IV V
IQ before training: 110 120 123 132 125
IQ after Training: 120 118 125 136 121
Test whether there is any change in IQ after training programme.
[t = 0.01 (4) = 4.6]
problem 7) prepare brief notes:
a) Type I and Type II error.
b) Null hypothesis and Alternative hypothesis.
c) Sampling errors.
d) Large Sample Test.
e) Properties of normal distribution