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DRIVE Summer 2015
PROGRAM- MBADS/ MBAFLEX/ MBAHCSN3/
MBAN2/ PGDBAN2
SEMESTER- 1
MB0040- STATISTICS FOR MANAGEMENT
Q1
Distinguish between Classification and Tabulation. Explain the structure and
components of a Table with an example.
·
Meaning of Classification and
Tabulation
·
Differences between
Classification and Tabulation
·
Structure and Components of a
Table with an example
Answer.
Meaning
of Classification and Tabulation
Classification
According
to Secrist, “Classification is the process of arranging data into sequences and
groups according to their common characteristics or separating them into
different but related parts”.
Q2.
(a) Explain Arithmetic mean. 3
(b)
The mean wage is Rs. 75 per day, SD wage is Rs. 5 per day for a group of 1000 workers
and the same is Rs. 60 and Rs. 4.5 for the other group of 1500 workers. Find
the mean and standard deviation for the entire group. 7
Answer:
(a)
Arithmetic mean: Arithmetic mean is
defined as the sum of all values divided by number of values and is
represented by X . Arithmetic mean is also called ‘average’. It is most
commonly used measures of central tendency. Arithmetic Mean of a series is the
value obtained by adding all the observations of a series and dividing this
total by the number of
Q3. Mr. Arun and Mr.
Bhandari play a game. If Mr. Arun picks up an even number from 1 to 6, Mr.
Bhandari will pay him double the amount equal to picked up number. If Mr. Arun
picks up an odd number then he has to pay amount equal to double the picked up
number. What is Mr. Arun’s expectation? 10
Solution: Let Xi be the
random variable and P(Xi) be its probability. The probabilities are indicated
in table.
Required Values for Calculating Mean and
Variance for the Data
Q4.
The probability that an employee will get an occupational disease is 20%. In a
firm having five employees, what is the probability that:
i)
None of the employees get the disease 4
ii)
Exactly two will get the disease 3
iii)
More than four will contract the disease 3
Answer: Solution
Given that:
p = 20/100
= 0.2
\ q =1-0.2 = 0.8
Q5.
Microsoft estimated that out of 10,000 potential software buyers, 35% wait to purchase
the new OS Windows Vista, until an upgrade has been released. After an advertising
campaign to reassure the public was released, Microsoft surveyed 3000 buyers
and found 950 who are still skeptical. At 5% level of significance, can the company
conclude that the population of skeptical people had decreased? 10
Answer: Solution:
The procedure is
explained in the following steps:
1. Null
hypothesis Ho: p
= .35
Alternate hypothesis H1: p <
0.35
2. Level of
Q6.
Explain Chi-square test and the conditions for applying chi-square test.
(Meaning, Conditions) 5, 5
Answer: Chi-Square
test: The
Chi-square test is one of the most commonly used non-parametric tests in
statistical work. The Greek Letter c2 is used to denote this test. c2 describe the
magnitude of discrepancy between the observed and the expected frequencies. The
value of
c2
is
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