Saurastra University 2006 M.Com Commerce Statistical Analysis - Question Paper

M. Com. (Part - I) exam
April / May – 2006
Statistical Analysis
(New Course)
Instructions : (1) every ques. carries equal marks.
(2) Statistical table will be given on request.
(3) Graph paper ''provided'' on demand.
1 Attempt any 2 : 20
(a) compute mean from the subsequent data :
Temp. °C No. of days
–40 to –30 10
–30 to –20 28
–20 to –10 30
–10 to 0 42
0 to 10 65
10 to 20 180
20 to 30 10
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(b) From the data provided beneath compute co-efficient of
variation :
Pearson's measure of skewness = 0.42
Mean = 86
Median = 80
(c) provided that the regression formula of Y on X and
of X on Y are respectively Y = X and 4X – Y = three and
that the 2nd moment of X about the origin is 2.
obtain :
(i) Correlation coefficient ranging from X and Y and
(ii) Standard deviation of Y.
(d) describe mean deviation ? How does it differ from
standard deviation.
2 Attempt any 2 : 20
(a) In a locality, out of 5000 people residing. 1200 are
above 30 years of age and 3000 are female. Out of
1200 who are above 30, 200 are female. Suppose,
after a person is chosen you are told that the person
is a female. What is the probability that she is above
30 years of age ?
(b) discuss the characteristics of Poisson and Binomial
distribution and in detail show its uses.
(c) What proportion of area of a normal curve included
ranging from (i) s (ii) 2s and (iii) 3s distance from the
mean ?
For a normal distribution of 100 items, the lower
quartile Q1 is 73 and s is 15 the obtain Median.
(d) If the probability of a defective bolt is 0.2, obtain
(i) the mean (ii) The S.D. of defective bolts in a total
of 900 bolts.
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3 Attempt any 2 : 20
(a) discuss cost of residing index number. Construct the
cost of residing index number from the subsequent group
data :
Groups Weight Group Index Number
for provided year
Food 47 247
Fuel and Lighting seven 293
Clothing eight 289
House Rent 13 100
Miscellaneous 14 236
(b) Using the data provided beneath compute price index
number for the year 1958 by (i) Laspaeyre's formula
(ii) Passche's formula and (iii) Fisher's formula with the
year 1949 as base :
Commodity Price (Rs.) volume (000 Kg.)
1949 1958 1949 1958
Rice 9.3 4.5 100 90
Wheat 6.4 3.7 11 10
Pulses 5.1 2.7 five 3
Also check that time reversal and factor reversal test
satisfies by which formula.
(c) What is Hypothesis ? discuss in detail kind I and
kind II fault of testing of hypothesis.
(d) discuss the subsequent term :
(1) Degrees of Freedom
(2) Level of significance.
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4 Attempt any 2 : 20
(a) What do you mean by operating characteristic
curve in signle sampling plan ? When it converge to
Ideal o.c. curve.
(b) During an exam of equal length cloths the
subsequent are number of defects observed
2, 3, 4, 0, 5, 6, 7, 4, 3, 2
Draw a control chart for the number of defects and
comment whether the process is under control or not.
(c) Name any 2 small samples tests and discuss uses of
them.
(d) The theory predicts the proportion of bears, in the four
groups A, B, C and D should be nine : three : three : 1. In an
experiment with 1600 beans the numbers in the four
group where 882, 313, 287 and 118.
Does the experimental outcomes support the theory ?
5 Write short notes on subsequent : 20
(1) Non-Parametric test
(2) Pay-off matrix
(3) Differentiate primary and secondary data
(4) discuss stratified random sample with its uses.

Earning:   Approval pending.