Construct control (x-bar and R) charts. To learn how to draw control charts using Excel, watch my YouTube Video in Week 5 chapter website in D2L. Use the sample statistics to calculate the control limits for the X-bar & R Graphs Exhibit A Factors A2 X-bar control limit D3 LCLX = X-AR R control limit LCLR= D,R Exhibit A. Factor for Determining 3-Sigma Limits for R-bar and x-bar Charts ᎠᏎ = UCLR= DR Factor for R Chart UCLX = X+A₂R Sample size (n) Number of sample Number of Factor for x- Lower Observations bar Chart Control Upper Control X-bar Chart R Chart in Subgroup Limit Limit CL UCL LCL CL UCL n A2 D3 D4 LCL ! Sample No X-BAR (Sample R (Sample Range) Mean) X-BAR R 1 28.2151942 9.5450186 2 30.5767201 11.1032318i 3 29.0253789 5.52221327 4 29.9431791 6.27087883 5 29.947177 12.7568255 6 29.6848334 11.4927456! 7 29.2539019 4.72514932 8 29.6694257 13.9330532 9 30.1590205 6.33461804 10 28.6867307 6.49522527 11 30.5960109 8.13717125! 12 29.4390565 5.80286433i 13 31.863426 3.40227918 14 32.3716448 8.62217828 15 29.7052597 10.0026916! 16 30.0060069 4.25003967i 17 32.8491753 4.6515662 18 33.5023103 9.62764088 19 28.1876404 9.6980397! 20 30.5043768 6.46724539! 21 29.6856417 7.65071069i 22 32.5728395 9.2483604 23 28.2363719 7.54975234 24 29.6579999 11.3224787 25 28.1319897 13.213391! 26 28.8811004 8.08405181 27 31.6730765 12.9865678 28 28.2078142 5.96315947 29 27.9430689 7.39518992! 2 1.88 0.00 3.27 3 1.02 0.00 2.57 4 0.73 0.00 2.28 5 0.58 0.00 2.11 6 0.48 0.00 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72 13 0.25 0.31 1.69 14 0.24 0.33 1.67 15 0.22 0.35 1.65 16 0.21 0.36 1.64 7122 0.20 0.38 1.62 18 0.19 0.39 1.61 19 0.19 0.40 1.60 20 0.18 0.41 1.59 Use the sample statistics to calculate the control limits for the X-bar & R Graphs All units from the current batch . . . . This production shift has ended. Click reset below to start a new run. RESET COPY DATA ✗₁ 29.38 X2 27.54 X3 31.37 X4 23.15 X5 31.97 X-bar 28.68 R 8.82 X-bar Chart 38 36- 34- 32- 31.28 19:00 30- 28 26 24 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM R Chart 20 18 16 14- 12- 10 8. 6 4 иг ли 2 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM

Construct control (x-bar and R) charts. To learn how to draw control charts using Excel, watch my YouTube Video in Week 5 chapter website in D2L. Use the sample statistics to calculate the control limits for the X-bar & R Graphs Exhibit A Factors A2 X-bar control limit D3 LCLX = X-AR R control limit LCLR= D,R Exhibit A. Factor for Determining 3-Sigma Limits for R-bar and x-bar Charts ᎠᏎ = UCLR= DR Factor for R Chart UCLX = X+A₂R Sample size (n) Number of sample Number of Factor for x- Lower Observations bar Chart Control Upper Control X-bar Chart R Chart in Subgroup Limit Limit CL UCL LCL CL UCL n A2 D3 D4 LCL ! Sample No X-BAR (Sample R (Sample Range) Mean) X-BAR R 1 28.2151942 9.5450186 2 30.5767201 11.1032318i 3 29.0253789 5.52221327 4 29.9431791 6.27087883 5 29.947177 12.7568255 6 29.6848334 11.4927456! 7 29.2539019 4.72514932 8 29.6694257 13.9330532 9 30.1590205 6.33461804 10 28.6867307 6.49522527 11 30.5960109 8.13717125! 12 29.4390565 5.80286433i 13 31.863426 3.40227918 14 32.3716448 8.62217828 15 29.7052597 10.0026916! 16 30.0060069 4.25003967i 17 32.8491753 4.6515662 18 33.5023103 9.62764088 19 28.1876404 9.6980397! 20 30.5043768 6.46724539! 21 29.6856417 7.65071069i 22 32.5728395 9.2483604 23 28.2363719 7.54975234 24 29.6579999 11.3224787 25 28.1319897 13.213391! 26 28.8811004 8.08405181 27 31.6730765 12.9865678 28 28.2078142 5.96315947 29 27.9430689 7.39518992! 2 1.88 0.00 3.27 3 1.02 0.00 2.57 4 0.73 0.00 2.28 5 0.58 0.00 2.11 6 0.48 0.00 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72 13 0.25 0.31 1.69 14 0.24 0.33 1.67 15 0.22 0.35 1.65 16 0.21 0.36 1.64 7122 0.20 0.38 1.62 18 0.19 0.39 1.61 19 0.19 0.40 1.60 20 0.18 0.41 1.59 Use the sample statistics to calculate the control limits for the X-bar & R Graphs All units from the current batch . . . . This production shift has ended. Click reset below to start a new run. RESET COPY DATA ✗₁ 29.38 X2 27.54 X3 31.37 X4 23.15 X5 31.97 X-bar 28.68 R 8.82 X-bar Chart 38 36- 34- 32- 31.28 19:00 30- 28 26 24 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM R Chart 20 18 16 14- 12- 10 8. 6 4 иг ли 2 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter14: Data Mining

Section14.2: Classification Methods

Problem 11P

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Question

Need help on calculating control limits for x-bar and r-chart based on the samples below:

Sample No	X-BAR (Sample Mean)	R (Sample Range)
	X-BAR	R
1	28.2151942	9.5450186
2	30.5767201	11.1032318
3	29.0253789	5.52221327
4	29.9431791	6.27087883
5	29.947177	12.7568255
6	29.6848334	11.4927456
7	29.2539019	4.72514932
8	29.6694257	13.9330532
9	30.1590205	6.33461804
10	28.6867307	6.49522527
11	30.5960109	8.13717125
12	29.4390565	5.80286433
13	31.863426	3.40227918
14	32.3716448	8.62217828
15	29.7052597	10.0026916
16	30.0060069	4.25003967
17	32.8491753	4.6515662
18	33.5023103	9.62764088
19	28.1876404	9.6980397
20	30.5043768	6.46724539
21	29.6856417	7.65071069
22	32.5728395	9.2483604
23	28.2363719	7.54975234
24	29.6579999	11.3224787
25	28.1319897	13.213391
26	28.8811004	8.08405181
27	31.6730765	12.9865678
28	28.2078142	5.96315947
29	27.9430689	7.39518992
30	29.6269815	9.48802129
31	34.3599108	7.66563648
32	28.2423234	7.34122645
33	27.4516242	4.54022411
34	30.2349492	16.7666852
35	27.7590183	7.27922111
36	31.4342524	10.4433716
37	31.2843577	4.13552393
38	30.1845018	10.1475405
39	31.2116025	5.84577466
40	29.0368356	8.60270744
41	30.0739875	7.87350602
42	31.1973488	5.31852342
43	30.5422568	6.58880711
44	31.3454094	3.50863764
45	28.3576156	6.90271885
46	28.6841001	8.82078446