M.B.A./M.B.A(FINANCE) DEGREE EXAMINATION, APRIL/MAY 2018.
Second Semester
BUSINESS STATISTICS
2 1790125
Time 3 Hours Max. Marks 70
PART — A
Answer all FIVE questions. 2 10 Marks)
1. Write the properties of Arithmatic mean.
2. What is trend analysis?
3. What is probability density functions?
4. Explain the word standard error.
5. What are the applications of chi-square test?
PART — B
Answer all FIVE questions.(with internal choice) 10 50 Marks)
6. What is primary Data? Explain various primary data collecting methods.
Or
What is graphical representation of data? Explain various graphs used in
statistics.
7. Calculate Rank correlation co-efficient from the following data
X 12 9 8 10 11 13 7
Y 14 8 6 9 11 12 3
Or
Fit a Straight line trend equation by the method of least squares and
estimate the trend values.
Year 1961 1962 1963 1964 1965 1966 1967 1968
Value 80 90 92 83 94 99 92 104

8. Write a short on Normal Distribution also Explain the properties of Normal
Distribution.
Or
Define 'Random variable'. How do you distinguish between discrete and
continuous random variables. Illustrate with suitable examples.
9. Explain probability sampling techniques with suitable examples.
Or
Define hypothesis. Also explain the procedure of testing of Hypothesis.
10. Five coins are tossed for 3200 times and the following results were obtained.
No. of head 0 1 2 3 4 5
Frequency 80 570 1100 900 500 50
Test the hypothesis that the coins are biased.
Or
In a sample of 500 people from village 280 are found to be rice eaters and
the rest are wheat eaters. Can we assume that both the food articles are
equally popular? Test at significance level.
PART — C
CASE STUDY (Compulsory) (10 Marks)
11. An organisation dealing with consumer products wants to introduce a new product
in the market. Based on its past experience, it has a 65% change of being successful
and 35% of not being successful. In order to help the organization to make a
decision on the new product, i.e. whether to introduce not, it decides to get
additional information on consumer's attitude towards the product. For this
purpose, the organisations decides on a survey. In the past when a product of this
type was successful, survey yielded favourable indications 85% of the time,
whereas unsuccessful products received favourable survey indications 30% of the
time. Determine the posterior probability of product being successful given the
survey informations.
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