2. Averages and ranges of samples of size n = 5 are shown in the accompanying ta

Question

2. Averages and ranges of samples of size n = 5 are shown in the accompanying table. The data pertain to the depth-to-shoulder measurement of glove boxes manufactured by an American car company. The measurements are in inches. From the first 25 samples, set up and interpret X and R control charts. Indicate whether or not control is evidentIf the chart shows the process to be in a state of controlplot the next 5 samples and comment on the results. Sample Range Sample 0.05 0.019 0.015 0.08 0.018 0.006 O,008 16 17 18 19 0 0 0.011 20 0.00 0.00 21 0.00 OO 0.00 0.4402 0.4390 0.4448 0.4432 0.4428 0.4382 04358 0.4440 0.4366 0,4368 60 0 4402 04332 0.4356 0.434 0.09 0.4362 0.4380 0.4350 0.4378 0.4384 0.4392 0.4378 0, 4362 0.4348 0, 4338 0.4366 0.4346 0.4374 0.4339 0.4368 0 OIO 0.01 0,011 0.007 23 24 25 26 27 28 29 10 11 12 13 14 15 0.016 0.019 0.015 0.014 0.019 0.015 0.024 0.04 OOD O,017 O, OIO

Explanation / Answer

Formula for UCL X = X+A2(R), LCL X = X-A2(R) A2 for n=5 is 0.577, UCL R = D4*R, LCL = D3*R, D4=2.114 and D3=0 for n=5

For first 25 samples: -

Sample X Range 1 0.4402 0.015 2 0.439 0.018 3 0.4448 0.018 4 0.4432 0.006 5 0.4428 0.008 6 0.4382 0.01 7 0.4358 0.011 8 0.444 0.019 9 0.4366 0.01 10 0.4368 0.011 11 0.436 0.011 12 0.4402 0.007 13 0.4332 0.008 14 0.4356 0.017 15 0.4314 0.01 16 0.4362 0.015 17 0.438 0.019 18 0.435 0.008 19 0.4378 0.011 20 0.4384 0.009 21 0.4392 0.006 22 0.4378 0.008 23 0.4362 0.016 24 0.4348 0.019 25 0.4338 0.015 X, R 0.4378 0.0122 UCL 0.4448394 0.0257908 LCL 0.4307606 0

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.