Question

A manufacturer of dustless chalk instituted a quality control program to monitor chalk density. The sample standard deviations of densities for 24 different subgroups, each consisting of n 8 chalk specimens, were as follows: This data has been coded so that you may copy and paste it into R with the name k.sdevs. k.sdevs c(0.202, 0.315, 0.097, 0.182, 0.229, 0.215, 0.320, 0.288, 0.146, 0.208, 0.050, 0.145, 0.269, 0.350, 0.158. 0.215, 0.386, 0.187, 0.151, 0.231, 0.275, 0.117, 0.091, 0.059) mean(k.sdevs) #Construct your own Control Chart. LCL 0.15 #uuan change this value to be the same as your calculated LCL 0.35 ## ww* change this value to be the same as your calculated UCL UCL plot(k.sdevs) abline(h mean(k.sdevs)) abline(h LCL, Ity 2) abline(h UCL, Ity = 2) Calculate limits for an S chart. (Round your answers to four decimal places.) an ICL = UCL Construct the chart. 04 UCL g.4 UCL 0.3 0.3 0.2 0.2 LCL J.I 0.1 LCL Subgroup 25 5 10 15 20 Subgroup 0.0 o-0.1 5 25 UCL 0.4 4 UCL 0.3 0.3 0.2 0.2 LCL 0.1 0.1 LCL Subgroup Subgroup 0.0 0.0 5 10 15 20 25 5 10 15 20 25 -0.1 0-0.1 Check for out-of-control points O All points are between these limits, so the process appears to be in control with respect to variability. O All points are between these limits, so the process appears to be out of control with respect to variability. O The value of s on the 17th sample lies above the UCL, so the process appears to be out of control. O Most points are between these limits, so the process appears to be in control with respect to variability. O Most points are between these limits, so the process appears to be out of control with respect to variability.

Answer 1

aur given data o 182 O.215 o.229 Ooga 202 O315 145 O 208 88ひ0 O146 O.O50 o.320 o187 O.38G O.350 o.58 O.215 O. 269 Oog O.231 o. 29S K24 8-u limits foo S-Chars Caucwate an St K 4.886 Feods ニ 0-208583 O-2036 O,2086 - LCL こB3S 9 di -0.185 (0.2036 Staistical table LCL - o.o376 66 O. 185 foo LCL- 0.0317 B4 1815 forr n-8 B4S 1815 0.2036) OCL o.36959 4 OCL .CLEO 3695

chost Constouct Chaat fos o Sn0ト OCLO 36 95 O2036 メーロメIS So mplo sis e chart Ars Corseat ene Poinis Cheok Ot ContoD| or COvgeot ( Ane vajue of S on the 17th The Sample lies THe PoD cess about やe OCL) So appeoros to bo out of Contodl