.
Question 1: [4 marks]
In an Automotive Research Association of India (ARAI) sponsored study, a random survey was done on 215 people owning petrol-driven small cars in Bangalore who had purchased their cars within the last one year. Details about the observed mileage were collected from the owners. Using the survey results, the mean was found to be 11.25 km/litre and the standard deviation was found to be 2.63 km/litre. The total number of petrol-driven small cars that were sold in Bangalore in the last one year is expected to be roughly 5500. Construct a 95% confidence interval for the average mileage of the above mentioned car population in Bangalore. Question 2: [4 marks]

The tollway management company managing the elevated flyover on Hosur Road in Bangalore is interested in knowing the proportion of Electronics City employees who actually take the elevated flyover. The company would like to be 98% certain in estimating this proportion, while it would like this proportion estimate to be within plus or minus 0.03. What is the minimum sample size that the company should use for surveying the driving route preferences of Electronics City employees in order to achieve the above desired level of precision in the proportion estimate? Question 3: [4 marks]

Two research laboratories have independently produced drugs that provide relief to arthritis sufferers. The first drug was tested on a group of 90 arthritis sufferers and produced an average of 8.5 hours of relief, and a sample standard deviation of 1.8 hours. The second drug was tested on 80 arthritis sufferers, producing an average of 7.9 hours of relief, and a sample standard deviation of 2.1 hours. At the 0.05 level of significance, does the second drug provide a significantly shorter period of relief? Question 4: [3 marks]

...Quantitative Techniques/Operations Research
Successful managers use quantitative techniques in decision making when:
1. The problem is complex.
2. The problem involves many variables.
3. There are data which describe the decision environment.
4. There are data which describe the value or utility of the different possible alternatives.
5. The goals of the decision maker or the organization can be described inquantitative terms.
6. Workable models are available for these situations.
Six steps towards making better decisions:
Process Activities Process Steps Process Output
1. Site visits Observe the problem Sufficient information
Conferences environment and support to proceed
Observation
Research
2. Define use Analyze and define Clear grasp of need for
Define objectives and nature of solution
Define limitations requested
3. MS/OR tools Develop a model Model that works under
Interrelationships identified limitations
Mathematical models
Known solutions
Research
4. Internal/external data Select appropriate data Sufficient inputs to
Facts input operate and test model
Opinions
Computer data banks
5. Testing Provide a solution and Solution(s) that support
Limitations test its reasonableness current organizational
Verification objectives
6. Behavioral issues...

...
Quantitative Techniques in Management
Assignment A
1. From the following data calculate the missing the missing frequency.
No. of
tablets
4-8 8-12 12-16 16-20 20-24 24-28 28-32 32-36 36-40
No. of
Persons
Cured
11 13 16 14? 9 17 6 4
The average number of tablets to curve fever was 19.9.
Solution:
No. of tablets
Mid point
No. of persons cured
Product
4-8
6
11
66
8-12
10
13
130
12-16
14
16
224
16-20
18
14
252
20-24
22
x
22x
24-28
28-32
26
30
9
17
234
510
32-36
34
6
204
36-40
38
4
152
1772+22x/90+x=19.9
1772+22x=1791+19.9x
2.1x=19
X= 9
Hence the missing frequency 20-24= 9
2. You are supplied the following data about heights of students in a college.
Boys Girls
Number 72 38
Average height (inches) 68 61
Variance of distribution 9 4
Find out:
(a). In which sex, boys or girls, is there greater variability in individual heights.
(b). Common average heights in boys and girls.
(c). Standard deviation of height of boys and girls taken together.
(d). Combined variability.
a. C.V of boys height = σ¹/x×100=√9/68=4.41%
(a) C.V of girls height = σ²/x ×100=√4/61×100=3.28%
Thus there is greater variability in the height of boys than girls,
(b) height of boys and girls combined is
̅x¹²=N¹̅x¹+N²̅x²/N¹+N²=
72×68+38×61/72+38=7214/110=65.58 inches approx.
(c) the combined standard deviation may be calculated by...

...QTM Quiz 4
Set A
1. Out of a population of 60 people, the standard error comes to 1.65kg when calculating their average weight using sampling with replacement and 1.61 when using sampling without replacement. What is the sample size and standard deviation of the population? (4)
N=60
With replacement, S.E. =
Without replacement, S.E. = = 1.61
Thus, FPC = (N-n)/(N-1) =
Thus, 60-n = 56.174
Thus, n = 3.8 or 4 approx.
2. When calculating the average income of the residents in a housing complex, how many samples must be taken to ensure the sample mean is within Rs. 10,000 of the original 99% of the time, the standard deviation being Rs.1,00,000? (4)
Thus, and
Thus,
Now, P(|Z|)≥0.99 means P(Z) = 0.995, -2.58 ≤ Z ≤ 2.58,
Thus, 2.58 ≤ 0.1, so n ≥ 665.64 ≈ 666
3. If you are out to measure the most common brand of privately owned automobile in a country, describe how you would set up the experiment, including objective, response variable and sampling type. Justify your answer. (2)
Note: Your answer can be different as long as it is logically presented
Population: All private automobile owners in the country
Objective: To determine the distribution of automobile brands and identify the most common.
Response variable: Brand of automobile privately owned by a person
Sampling process: Use prior judgment and calculations to (a) determine sample size and (b) identify clusters that are representative of the population. Use simple...

...NTITATIVE MGNT
QUANTITATIVE APPLICATIONS IN MANAGEMENT
Course Code: MIB 105 Credit Units: 03
Course Objective:
The objective of this course is to develop the understanding of the various statistical models, used for decisions making in the functions of the management of any organization with respect to International Business. To equip the students with tools and techniques for application of concepts to real life problems for efficient managerial decision making.
Learning Outcomes:
At the end of the course students will be able to:
Use statistical techniques to collect and analyse data
Produce forecasts using statistical packages
Apply quantitative techniques to business situations.
Course Contents:
Module I: Introduction
Quantitative Decision Making - an overview,
Collection , Classification & Presentation of Data,
Measures of Central Tendency - Mean, Median, Mode, Geometric Mean & Harmonic Mean,
Measures of Dispersion – Range, Quartile Deviation, Average Deviation & Standard Deviation.
Module 2 : Probability , Probability Distributions & Decision theory
Basic Concepts of Probability
Discrete Probability Distribution
Continuous Probability Distributions
Decision Theory : introduction to decision making & decision environments
Module 3 Sampling , Sampling Distributions & Testing of Hypothesis
Sampling Fundamentals
Different Methods of sampling
Sampling...

...64
Academy of Management Perspectives
August
Hidden Costs Associated with Stakeholders in
Supply Management
by Christine M. Wright, Michael E. Smith, and Brian G. Wright
Executive Overview
Many businesses fail to recognize the strategic importance of sourcing decisions. Companies often focus on
the price and quality of goods provided to them, but it is easy to overlook the social and environmental
standards of suppliers. Those who do may find themselves on the receiving end of aggressive attacks from
a range of stakeholders, from customers and shareholders to the news media. Indeed, the business practices
of Georgia Pacific, a hardwood plywood supplier, were at the heart of actions by the Rainforest Action
Network aimed at disrupting operations at Home Depot; the practices of tomato growers that supplied Taco
Bell restaurants were behind boycotts of the fast food giant; and fishing practices that endangered dolphins
were the source of discontent with the tuna industry. Clearly the business practices of key suppliers can
readily tarnish a corporate reputation, and the strategic impact—potentially including business disruption,
business interruption, and even business failure— of neglecting these perceptions needs to be recognized by
present and future business leaders. In order to examine the dynamics of change brought about as a result
of negative stakeholder perceptions of supply management practices, we...

...GM03
Quantitative Techniques for Managers
Assignment No.I
Assignment Code: 2011GM03A1 Last Date of Submission: 31st March 2011
Maximum Marks:100
Attempt all the questions. All the questions are compulsory and carry equal marks.
Section-A
Ques.1 In a certain examination there were 100 candidates of whom 21 failed, 6 secured distinctions, 43 were placed in third division and 18 in the second division. It is known that at least 75% marks are required for distinction, at least 40% for passing, at least 50% for second division and at least 60% for first division.
Calculate the median of the distribution of marks
Ques.2 The pass result of 50 students who took a class test is given below:
|Marks |40 |50 |60 |70 |80 |90 |
|No. of |8 |10 |9 |6 |4 |3 |
|Students | | | | | | |
If the mean mark for all the students was 51.6, find the mean marks of students who failed
Ques. 3 Define skewness. When does a distribution get positively and negatively skewed?
Ques.4 A Wholesale distributor of a product finds that the annual demand for a product is normally distributed with the mean of 120 and the standard deviation of 16. If he orders only once a year, what quantity should be ordered to ensure that there is only a 5 percent chance of running short (Area between (= 0 and (=1.64 is...

...Question :
What’s the probability that an individual, selected at random, will score below the mean on any normally distributed characteristic?
Student Answer:
p = 0
p = .1
p = .5
p = 1.0
Instructor Explanation:
Found in section 3.1, A Primer in Probability.
Points Received:
1 of 1
Comments:
Question 2.
Question :
Turning raw scores into z scores does not ____________.
Student Answer:
allow for scores from different tests to be compared directly
create a common distribution where the mean is 0
create a common distribution where the standard deviation is 1.0
make the data involved in the transformation normal
Instructor Explanation:
Found in section 3.2, The Standard Normal Distribution.
Points Received:
0 of 1
Comments:
Question 3.
Question :
In a distribution for which the mean is 25 and the standard deviation is 5, what percentage of all scores occur at 30 or below?
Student Answer:
15.87%
20%
34.13%
84.13%
Instructor Explanation:
Found in section 3.2, The Standard Normal Distribution.
Points Received:
0 of 1
Comments:
Question 4.
Question :
A distribution where the mean and standard deviation have pre-determined values calls for ________.
Student Answer:
raw scores
z scores
modified standard scores
percentile rankings
Instructor Explanation:
Found in section...

...H 1 Due on Feb 3 in class
1. Dello is a world-class PC company. Management believes that they understand their products and customers better than any outsourcing company; therefore Dello should provide customer service in-house. Ideally, Dello’s customer service department wants to handle all the customer phone calls. During peak hours, however, Dello receives so many customer calls that they ask an outsourcing company, Telemate, to help handle incoming calls. Dello’s switchboard system is programmed in the following way; A customer calls Dello at its 1-800 number. If there are 14 or less callers in the system waiting to speak with one of the customer service representatives, then the call stays within Dello’s system and the customer inquiry will be answered by a Dello customer service representative. If, on the other hand, there are 15 or more calls waiting within Dello’s system, then the incoming call is forwarded to the outsourcer Telemate, and the call will be answered by a Telemate agent.
Draw the process flowchart for Dello’s customer service call handling process.
2. Consider a process that has 3 stations, ordered in sequence: A, B and C. At each station, two consecutive tasks are performed one after the other. The time (in seconds per unit) it takes for a single person to perform each task is given in the table below (e.g., task A2 takes 10 seconds per unit):
Station
# of
Workers
Task A1
Task
A2
Task
B1
Task
B2
Task
C1
Task C2
A
1
20
10...