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Due 09/01/2017 Show all steps for full credit. Write on ONLY ONE SIDE OF THE PAG

ID: 3297656 • Letter: D

Question

Due 09/01/2017 Show all steps for full credit. Write on ONLY ONE SIDE OF THE PAGE. Use Engineering Paper. Hws that are scribbled/untid . will not be collected. 1. A clever machinist wants to mess with another young engineer (say YE2) YE2 has designed a great gadget, which is supposed to detect defect ball bearings. The machinist has an urn of 15 ball bearings in which there are 5 defective ball bearings The machinist has surreptitiously numbered the ball bearings, so he knows exactly which one is bad. The engineer's gadget is put to the test. The gadget glows red when a bad ball bearing is detected (test positive). Here are the results Ball Test Bearing Condition Outcome Number 10 12 15 Calculate the following i. What, implicitly, is the null hypothesis for this test i. Draw the confusion matrix (another name for 2x2 table)

Explanation / Answer

I) The device predict correctly is the hypothesis that needs to be tested. ii) Confusion matrix Predicted G B Actual G 6 4 10 B 3 2 5 15 iii) precision= TP/(TP+FP) 0.666667 Recall (sensitivity)= =TP/(TP+FN) 0.6 F-score= 2*precison*recall/(precision+recall) 0.631579 (v) F-score with beta=2 0.394737 (vi) type I error= 0.4 type II error= 0.6

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