NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Business Statistics
Internal Assignment Applicable for April 2020 Examination
Mfr 1- Life of bulf (in hrs) Mfr 2- Life of bulf (in hrs)
684 819
831 907
859 952
893 994
922 1016
939 1038
972 1096
1016 1153
697 836
835 912
860 959
899 1004
924 1018
943 1072
977 1100
1041 1154
720 888
848 918
868 962
905 1005
1. A sample of 20 bulbs each was picked from the manufacturing facility of two bulb
manufacturers – Mfr 1 and Mfr 2. The table above provides the life of bulbs for the two
manufacturers. You are a quality testing person and are presented with this data:
i. Which manufacturer has better performance on the life of bulbs? What are the different
measures you can consider to calculate performance?
ii. How would you assess the variability in performance of the two bulb manufacturers?
iii. Would your answer to the first question change based on your assessment of the
variability in performance of bulb manufacturers?
(10 Marks)
2. For the data in the table below: (10 Marks)
i. What do the correlation coefficients of 1, shaded in yellow, indicate?
ii. The highest correlation coefficient is 0.84, shaded in green. What can you infer from
that score about the relationship between the two variables?
iii.The two lowest correlation coefficients are 0.06 and -0.06. What can you infer from that
score about the relationship between the two variables?
r correlation coefficient Assets Expense Ratio Return 2006 3-Year Return 5-Year Return
Assets 1
Expense Ratio -0.29 1.00
Return 2006 0.08 -0.13 1.00
3-Year Return 0.07 -0.11 0.70 1.00
5-Year Return 0.06 -0.06 0.59 0.84 1.00
3. The Indian cricket team is visiting New Zealand to play a test series comprising five
matches. In each match, assume that the Indian team has a 70% chance of winning.
Further, assuming that the matches are independent of each other, what is the
probability that:
a. The Indian team will win the series? (5 Marks)
b. The team will win all five matches, and that the team will lose all? (5 Marks)
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