NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Business Statistics
Internal Assignment Applicable for April
2018 Examination
Assignment Marks: 30
Instructions:
All Questions carry equal marks.
All Questions are compulsory
All answers to be explained in not more
than 1000 words for question 1 and 2 and
for question
3 in not more than 500 words for each
subsection. Use relevant examples,
illustrations as far
as possible.
All answers to be written individually.
Discussion and group work is not
advisable.
Students are free to refer to any
books/reference material/website/internet
for attempting
their assignments, but are not allowed to
copy the matter as it is from the source
of reference.
Students should write the assignment in
their own words. Copying of assignments
from other
students is not allowed.
Students should follow the following
parameter for answering the assignment
questions.
1. The following results were obtained
from medical records about age (x) and
systolic blood
pressure (y) of a group of 10 women:
The mean and variance of x are 53 and 121
respectively and mean and variance of y
are
142 and 169 respectively. Σ(x-X)(y-Y)
=1210. (X is the mean of x and Y is mean
of y).
Find the regression equation of systolic
blood pressure on age of a women. Also
estimate
For Theoretical Answer
Assessment Parameter Weightage
Introduction 20%
Concepts and Application
related to the question
60%
Conclusion 20%
For Numerical Answer
Assessment Parameter Weightage
Understanding and usage
of the formula
20%
Procedure / Steps 50%
Correct Answer &
Interpretation
30%systolic blood pressure of a women
whose age is 55.While solving this
example, explain
the relevant terms used in details. (10
Marks)
2. A sarcastic graduate student from
Waterloo was testing the American media
at the Salt
Lake City Olympics about Canadian history
and geography. Reporters were given a 10-
item multiple-choice questionnaire to
complete. Each question had four possible
answers.
Unfortunately, one reporter wanted to
return to the bar for the rest of the
morning, so he
simply guessed on all of the questions
and then handed in the questionnaire.
What is the
probability that he will score at least 6
out of 10 in this questionnaire? State
clearly the
assumptions you need to make to solve
this question. Also, write a note on the
relevant
probability distribution you used to
solve this example. (10 Marks)
3. In order to compare the batting
performances in Test Cricket of Indian
legends, in a
meeting of administrators it was proposed
that instead of using arithmetic mean of
runs
scored in all the innings played, Median
score be used as an average to represent
the
performance. But one member, who happened
to be a statistician, objected to the
proposal
saying that by doing so we are favouring
the players like Sachin Tendulkar.
a) Give your opinion with appropriate
justification. (5 Marks)
b) If it is further decided to compare
the performance based on consistency in
performance,
which statistical measures would you
recommend? Substantiate your answer with
appropriate justification. (5 Marks)
**************
School for Continuing Education (NGA-SCE)
Course: Business Statistics
Internal Assignment Applicable for April
2018 Examination
Assignment Marks: 30
Instructions:
All Questions carry equal marks.
All Questions are compulsory
All answers to be explained in not more
than 1000 words for question 1 and 2 and
for question
3 in not more than 500 words for each
subsection. Use relevant examples,
illustrations as far
as possible.
All answers to be written individually.
Discussion and group work is not
advisable.
Students are free to refer to any
books/reference material/website/internet
for attempting
their assignments, but are not allowed to
copy the matter as it is from the source
of reference.
Students should write the assignment in
their own words. Copying of assignments
from other
students is not allowed.
Students should follow the following
parameter for answering the assignment
questions.
1. The following results were obtained
from medical records about age (x) and
systolic blood
pressure (y) of a group of 10 women:
The mean and variance of x are 53 and 121
respectively and mean and variance of y
are
142 and 169 respectively. Σ(x-X)(y-Y)
=1210. (X is the mean of x and Y is mean
of y).
Find the regression equation of systolic
blood pressure on age of a women. Also
estimate
For Theoretical Answer
Assessment Parameter Weightage
Introduction 20%
Concepts and Application
related to the question
60%
Conclusion 20%
For Numerical Answer
Assessment Parameter Weightage
Understanding and usage
of the formula
20%
Procedure / Steps 50%
Correct Answer &
Interpretation
30%systolic blood pressure of a women
whose age is 55.While solving this
example, explain
the relevant terms used in details. (10
Marks)
2. A sarcastic graduate student from
Waterloo was testing the American media
at the Salt
Lake City Olympics about Canadian history
and geography. Reporters were given a 10-
item multiple-choice questionnaire to
complete. Each question had four possible
answers.
Unfortunately, one reporter wanted to
return to the bar for the rest of the
morning, so he
simply guessed on all of the questions
and then handed in the questionnaire.
What is the
probability that he will score at least 6
out of 10 in this questionnaire? State
clearly the
assumptions you need to make to solve
this question. Also, write a note on the
relevant
probability distribution you used to
solve this example. (10 Marks)
3. In order to compare the batting
performances in Test Cricket of Indian
legends, in a
meeting of administrators it was proposed
that instead of using arithmetic mean of
runs
scored in all the innings played, Median
score be used as an average to represent
the
performance. But one member, who happened
to be a statistician, objected to the
proposal
saying that by doing so we are favouring
the players like Sachin Tendulkar.
a) Give your opinion with appropriate
justification. (5 Marks)
b) If it is further decided to compare
the performance based on consistency in
performance,
which statistical measures would you
recommend? Substantiate your answer with
appropriate justification. (5 Marks)
**************
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