This document contains an exam paper for a Statistics for Managers course with two sections. Section A contains 8 short answer questions covering topics like type I and II errors, Bayesian theorem, correlation vs regression, random variables, significance of correlation, non-parametric tests, and causes of variation in quality. Section B contains 8 long answer questions covering measures of dispersion, probability and non-probability sampling, hypothesis testing using ANOVA, time series analysis, and measuring the relationship between age and intelligence using index numbers and control charts. Students have to attempt 4 questions by selecting 1 from each of the 4 units.

1. Kedarnath Aggarwal Institute of Management
Internal Examinations, November -2017, MBA 1st Semester
Subject: Statistics for managers
Time – 3 Hours M.M 80
Note: The question paper shall be divide in two section.SECTION “A” shall comprise eight short answer carrying
two marks each, which shall be compulsory. SECTION “B” shall comprise of 8 questions,required to attempt four
questions selecting one question from each unit.
Section – A
A) What do you mean by type I and type II error?
B) Define Bayesian theorem?
C) Explain any two differences between correlation and regression?
D) Define random variable?
E) What is the significance of study of correlation?
F) What do you mean by non- parametric tests?
G) Define acceptance sampling?
H) Explain causes ofvariation in quality?
Section – B
Unit – I
1. Define measures of dispersion? Explain different method of calculating it with example?
2. Eight coins are tossed at a 256 times. No. of heads observed at each throw is recorded and the result are given
below. Find the expected frequencies what are the theoretical value of mean and standard deviation? Calculated
also the mean and standard deviation of the observed frequencies.
No. of
head at a
throw
0 1 2 3 4 5 6 7 8
frequencies 2 6 30 52 6 56 32 10 1
Unit- II
3. Explain different method adopt in probability and non- probability sampling distribution?
4. The three samples below have been obtained from normal population with equal variances. Test the
hypothesis that the sample means are equal by adopting ANNOVA test.
X1 X2 X3
8 7 12
10 5 9
7 10 13
14 9 12
11 9 14

2. Unit – III
5. Define time series and its components & uses.
6. the following table gives the frequencies according to groups of marks obtained by 67 students in an intelligence
test.Measures the degree of relationship between age and intelligence test.
Age in years
Test marks 18 19 20 21 Total
200- 250 4 4 2 1 11
250-300 3 5 4 2 14
300-350 2 6 8 5 21
350-400 1 4 6 10 21
Total 10 19 20 18 67
Unit- IV
7. Define different type of control chart and how to compute them?
8. what do you mean by index numbers and explain method for measuring it?