Question

Sample N. Number of carpets Inspected N. Of Defects 1 25 12 2 20 5 25 6 25 7 5 15 6 15 7 25 7 15 6 25 5 10 20 10 Construct a suitable control chart for the number of defects per carpet n st st LO. CO

Should we use U chart ?? Because it says number of defects. Can you explain to me also how and why u choose ur chart?

Answer 1

Solom Given | Sample no No of carpets inspected no of Defects 25 20 25 2.5 - am I to o it to oo 15 Total 210 70 Tol humber of corpets inspected = 210 i ñ - Alverage No of compects inspected = 21 Total defectives = 70 Total defectives No. of corpects inspected - 00 13 pa

Then UCL = P +37(1-P) ات = 0.39+ 3 )033 x 0667 21 50.3343/0.2.2011 21 20. 33+3/0.01048 20.33+3 (0.162371) = 0.33+ 0.367113 UCL = 0.637113 CL = P = } -0.333 LCL - P-3) P(1-P) 0.333-30.333 (-0.333) 21

21 = 0.333 - 380.333 (0:667) - 0-333-370.222141 21 20.333-380.01057 20.333-3(0.10281) -0.333 -0.30843 -0.0246 LCL = 0.025 sample (No. of Inspected Proportion of defects (No.of defect - 0.08 0.24 0.28 - am on 6 it too so of the al sy to -6.53 0.27 s od

control chart UCL = 0.637113 Proportion of defects _ ZCL 20.333 LCL=0.025 2 3 4 5 6 7 8 9 10 Sample