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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