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# Fourth term end term exam 2011 (1)

Fourth term End term exam 2011 (1) Section B 2. b From a factory producing metal sheet, following defective were analyses in every lot size. Prepare relevant chart only UCL and LCL. Lot Size | 100 | 125 | 90 | 120 | 110 | Defective | 6 | 7 | 4 | 8 | 10 | Solution Since the Lot size are different we have to use ‘ u’ chart. Sample NO | LOT Size | Defective | Proportion of defective | UCL | LCL | 1 | 100 | 6 | 0. 06 | 0. 140245 | -0. 0118 | 2 | 125 | 7 | 0. 056 | 0. 06422 | -0. 00378 | 3 | 90 | 4 | 0. 04 | 0. 144358 | -0. 01592 | 4 | 120 | 8 | 0. 066666667 | 0. 133621 | -0. 00518 | 5 | 110 | 10 | 0. 090909091 | 0. 136707 | -0. 00827 | Total | 545 | 35 | | | | u = sum of defects in all lots / total number of items in all lots = 35/545 = 0. 064 UCL = u + 3âˆš(u/ni) LCL = u – 3âˆš(u/ni) UCL always <1. 0 And LCL always > 0 Since here all the LCL value <0 we have to ignore lcl values. proportion of defective lot center line (u) 4. a) topaz industries manufactures z brand radar scanner used detect speed traps. the printed circuit boards in scanners are purchased from an outside vendor. vendor produces aql 2% and is willing run 5% risk(alpha) having lots this level or fewer defectives rejected. topaz’s consider 8% more tolerance unacceptable time. a large shipment has just been delivered. what values n c should be selected determine quality lot? solution: negotiated consumer’s producer’s risks, corresponding ltpd 2%, 10% each. therefore p0. 10 95 =0. 08 0. 02 =4 4 gives best fit. now as per table, sample size can calculated at risk point : np0. 1. 970 98. 5 =99 sampling plan (99, 4) 6) elisa watches assemble four different types on their assembly line. donebatches. given followingdata, batch sizes each type watch produced? company 300 working days year. find economic quantity? | annual dd - unit set up cost(per up) carrying cost yr assembling rate(no day) tag-h 9000 100040 100 titan 5000 50 120 gucci 10000 fossil 3000 30 90 there based above information, rates consumption products, quantitates for watch, which manufactured will last rate individual production times product (along with total time batch-each entire range products). i ii iii iv v vi vii viii rate(unit daily quantity no required produce manufacture requirements taken consume 670. 8204 6. 708 22. 36 16. 6666 447. 2136 3. 726 41. 66 26. 83 33. 33333 408. 2483 12. 24 96 3344. 72 19. 48 265 calculation by formula column>

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