ELEC-EXE Company produces incandescent light bulbs. The quality inspector
randomly selects eight bulbs from 40-watt light bulbs to inspect the number of lumens
of each bulb. The lumen is a critical quality dimension that determines whether the
bulb will work properly. Data has been collected for the last six days to observe 8 bulbs
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each day as shown in Table Q.2. The factors for computing control chart limits with 3-
sigma standard is provided in the Appendix Table A1.
(a) Construct the control limits for monitoring the average lumens of the bulbs.
(b) Construct the control limits for assessing the average range of the lumens of the
(c) Draw the charts based on your computation in Parts (a) and (b).
MotoStar is an online car dealer that sells cars with short-term loans. Recently they
have realised that some of their customers faced delays in their monthly payments.
Hence, they have collected historical data about the customers and their payment
performance, hence, if any customer delays in payment will be named as Red listed.
Based upon this, the finance team has generated a table that provides details about
customer, given in Table Q.3. For their future sale, it is important to generate certain
rules for customers’ payment performances based on their Age, Income, Studentship
status, and Credit-Rating.
(a) Calculate the entropy values for Red-Listed, information for Credit-Rating, Student,
Income and Age.
(b) Using information gain strategy, calculate information gain values of Credit rating,
Studentship, Income and Age, and decide the initial node for constructing the
(c) Determine the final decision tree and provide two generalised rules.
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