OU 2260 OU 2260
Code No. 1025
FACULTY OF MANAGEMENT
MBA I Semester Examination, January 2016
Subject: Statistics for Management
Course No. 1.5
Time: 3 Hours Max. Marks: 80
Note: Answer all the questions.
PART A (10x2 20 Marks)
[Short Answer Type]
1. Answer the following in not more than 75 words.
Properties of normal distribution
Conditional probability
Baye's theorem
Mathematical expectation
Stratified random sampling
Point and interval estimation
Chi-square Goodness of fit
Paired t-test
Managerial uses of correlation analysis
Irregular variations
PART B (5x12 60 Marks)
[Essay Answer Type]
2 From the marks secured by 120 students in Section A and 120 students in Section B
of a class, the following measures are obtained:
Section Mean 45.72, S.D. 12.9, Mode 49.2
Section Mean 52.33, S.D. 14.7, Mode 51.9
Determine which distribution of marks is more skewed.
OR
A university has to select an examiner from a list of 50 persons. 20 of them are
women and 30 are men; 10 of them knowing Hindi and 40 not; 15 of them being
teachers and the remaining 35 not. What is the probability of the university selecting
a Hindi-knowing women teacher?
3 The following table give the number of days in a 100 day period during which road
accidents occurred in a city. Fit a Poisson distribution to the data:
No. of accidents 0 1 2 3 4 5
No. of days 25 34 15 14 10 2
OR
The incomes of a group of 10,000 persons were found to be normally distributed
with mean Rs. 1750 p.m. and S.D Rs. 500. Show that of this group about 95%
had income exceeding Rs. 1668 and only had income exceeding Rs. 1832.
What was the lowest income among the richest 100?
…2.
OU 2260 OU 2260
Code No. 1025

4 In a town A 10,000 persons were observed and 20% of them were found to bear
spectacles. In town 8,25,000 persons were observed and 18% were found to bear
spectacles. Does this data lead you to infer that there is a significant difference in
the two towns with regard to the percentage of persons bearing spects is
concerned?
OR
A man purchases 2000 electric light bulbs of each of two well known makes, taken
at random from stock, for testing purpose. He finds that make A has a mean life of
1200 hours with a standard deviation of 150 hours and make B a mean life of 1600
hours with a standard deviation of 100 hours. Discuss the significance of these
results.
5 Eight students were given a test in mathematics and after one month's coaching
they were given another test of the similar nature. The following table gives the
increases in their marks in the second test over the first:
Roll No. 1 2 3 4 5 6 7 8
Increase in marks 4 6 12 5 2
Do the marks indicate that the students have gained from coaching?
OR
A dies is thrown 150 times with the following results:
No. turned up 1 2 3 4 5 6
Frequency 20 25 27 15 30 33
Test the hypothesis that the die is unbiased.
6 The following table shows the mean and standard deviation of the prices of two
shares on a stock exchange:
Share Mean

Standard
Deviation

X Ltd. 35.5 8.7
Y Ltd 45.5 10.2
If the coefficient of correlation between the prices of two shares is 0.55, find the most
likely price of share X corresponding to a price of Rs. 62 observed in the case of
share Y.
OR
Fit a straight line trend equation of Y a bx
Year 2008 2009 2010 2011 2012 2013 2014
Profits
120 100 122 195 214 219 225
Tabulate the trend values and predict profit for "2016".