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Assignment Task:

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 the performance of the two bulb manufacturers? 
iii. Would your answer to the first question change based on your assessment of the variability in the performance of bulb manufacturers? 

2. For the data in the table below:

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?

the relationship between the two variables

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?
b. The team will win all five matches, and that the team will lose all? 


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