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Internal
Assignment Applicable for April 2018 Examination
Business
Statistics
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 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.
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