This document outlines questions for a first semester MBA degree exam. It includes 8 questions covering topics like primary and secondary data, measures of central tendency and dispersion, correlation, probability, sampling, hypothesis testing, and short notes on scatter diagrams, Bayes' theorem, binomial distribution, and F-tests. Students are instructed to answer any 5 full questions that carry equal marks. Standard normal distribution tables may be provided.

1. FIRST SEMESTER M.B.A DEGREE
Note:
1. Answer any five full questions.
2. All questions carry equal marks.
3. Standard normal distribution may be supplied.
1.
A) Distinguish between primary and secondary data. Give some sources of secondary data.(6 marks)
B) Define continues and discrete series with example.(4 marks)
C) Find the mean median and mode for the following data.(10 marks)
C.I 1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100
F 3 7 13 17 12 10 8 8 6 6
Mode=
2.
A) What is dispersion? Explain its importance in statistics.(5marks)
B) Compute the range and quartile deviation for the following data: (5marks)
10, 5, 15, 20,35,25,30
Range=
C) Calculate the skewness and kurtosis from the following frequency distribution :( 10 marks)
Size in inches 30-33 33-36 36-39 39-42 42-45 45-48
No of 2 4 26 47 15 6
observations
Skp
3.
A) Explain the term correlation. (4 marks)
B) Find the correlation coefficient from the following table.(10 marks)

2. Marks in Marks in statistics
mathematics 47 52 57 62 67
57 3 4 2 -- --
62 4 8 8 2 --
67 -- 7 12 4 4
72 -- 3 10 8 5
77 -- -- 3 5 8
C) Fit a straight line trend to the data by the method of least squares. (06 marks)
Year 1979 1980 1981 1982 1983 1984 1985
Output (rs 672 824 968 1205 1464 1758 2058
in crores)
4. A) Explain two methods of studying trends in time series. (06 marks)
B) Define the probability of an event. Give two examples. (06 marks)
C) Three coins are tossed. Find the probability of getting (08 marks)
1) At least one head 2) exactly two heads.
5. A) Define normal and exponential distribution. (4 marks)
B) Find the probability distribution of items produced in a factory whose individual probability of
defective is 0.2 and non defective is 0.8 consider any three items are randomly chosen in a lot. Find the
distribution of the random variable X. (08 marks)
C) Suppose that X is N (50, 5), find (08 marks)
1) P (X≤55) 2) P(X>45) 3) P(X<55)
6. A) what are the types of sampling? Define each of them. (06 marks)
B) Show that the sample variance is an unbiased estimator of the public population variance . (06
marks)
C) Suppose P is estimated as 60%, and confidence level is set of 95%. If the allowable error in estimating
the population proportion is not to be greater than 2%, calculate the required sample size. (08 marks)
7. A) Explain the following terms
I. Null and alternative hypothesis.
II. Type 1 and type 2 error. (04 marks)

3. B) In the production process, the target value of µ is 50 and ơ is not known. The sample measurements
on a day are 45,54,51,47,52,50,41,51,43 and 53 test
: µ=50 against : µ<50 , with α=0.05. (08 marks)
C) The figures given below are
a) The observed frequencies of a distribution and
b) The frequencies of the Poisson distribution having the same mean and total frequency as in (A)
apply the test of goodness of fit (08 marks)
8. Write a short note on: (05X4=20 marks)
a) Scatter diagram
b) Baye’s theorem
c) Binomial distribution
d) F- test