# ST 4808.DOC - LOYOLA COLLEGE(AUTONOMOUS CHENNAI 600 034...

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034 M.Sc. DEGREE EXAMINATION – STATISTICS FOURTH SEMESTER – April 2009 ST 4808 - STATISTICAL COMPUTING - III Date & Time: 25/04/2009 / 9:00 - 12:00 Dept. No. Max. : 100 Marks Answer any three questions 1. a) The data shown here are and R values for 24 samples of size n=5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three digits recorded. Sample number 1 2 3 4 5 6 7 8 9 10 11 34.5 34.2 31.6 31.5 35.0 34.1 32.6 33.8 34.8 33.6 31.9 R 3 4 4 4 5 6 4 3 7 8 3 Sample number 12 13 14 15 16 17 18 19 20 21 22 38.6 35.4 34 37.1 34.9 33.5 31.7 34 35.1 33.7 32.8 R 9 8 6 5 7 4 3 8 4 2 1 Sample number 23 24 33.5 34.2 R 3 2 (i). Sep up and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (ii). If specifications on this diameter are 0.5030 0.0010, find the percentage of nonconforming bearings produced by this process. Assume that diameter is normally distributed.

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