Notes of B.Com-II Div-B, Statistics Xbar & R Chart H.W. - Study Material
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2. Amachine is set to deliver packets ofa, samples of size 5 each were recorded., , Sample No: 1 oe a! Sg Ct ee ene, , ye ee 18 47 44 4g. 4k 4, , R: A ee 8 | Vein) @ gue Ig, , Construct X and R charts and comment on the state of control., , (Given for n = 5, A, = 0.58, D, = 0, and D, = 2.11) [S.U. Ap.08,Ap.10], , (Ans.C.Lx = 16.2, UCL, = 20.5, LCL; = 1D heb, 2 7.4,, , U.C.L., = 19.6, L.C.L,,= 0.0, process is under control. ), , given weights. Ten, , 3. For the data given below, construct X and R charts and state, whether the process is under control or not.[S.U. Ap.00, Oct.04, Nov. 08], ero OO BE Bem Hg Mig uhiagg, xt EMS “OO SH 1 A 29)) "B8li? 48 49 ABI 40, rs Re a a A 28S 26 4B age 45, (Given forn = 5, A, = 0.58, D, = 0, and D, = 2.11), (Ans.C.L.x = 31.7, U.G.L.3. = G2 TAN LICiLy = ‘20.68, GLE = 19.0,, U.C.L., = 40.09, L.C.L,,= 0.0, The process is not under control. ), 4. Construct X and R charts for the following data’ of sample size 5,, Say whether the process is under control? [S.U. Ap.04, Ap.09, Oct.10}, saape tf 2 8) ae) Ome Bala B.A a ia ee, een a 2 88h 40. 8.410" 11° 9.6 10:4 9.6°10:6 710, R: Oy 4 BE Wion |, Be Oh. Qt neg y, (Given for n = 5, A, = 0.58, D, = 0, and D, = 2.11), (Ans.C.L.; = 10.66, U.C.L.; = 14.314, L.C.L.5 = 7.006, C.L = 6.3, iG = 13.29,.1 0 20:0,, The process is under control ), , , 5. The following data gives reading for 10 samples of size 6 each in, the production of a certain component. ! [S.U.Nov.03, Ap.06], Pied 92) 3 4 8 Re a tO, x 383 508 305 557 582 33/7 514 G14..707 753, eee oe 490'" 400" 6s 91. «6S 21. T at, 8Q, Draw control charts for X and R and state your conclusion., (Given forn =6,A, = 0.483, D,= 9, and D,= 2.0041), (Ans.C.L.z = 526.0, UCL. , = 560.148, L.C.L. x = 491.8519, , CL, = 70.7, U.C.L., = 141.689, L.CL, = 0.0, _ The process is out of control ), , Fee ca tle ce cahapteseolgmriae