After making several improvements in the east process, you now want to put controls in place to

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Question:

After making several improvements in the east process, you now want to put controls in place to detect new problems if they occur. To help with this, the workers collected a sample of 5 capsules each hour for 42 hours and measured each capsule's CBD contents.

1. From the first 35 samples, calculate the S-bar chart. Report the number.

Draw an S chart.

a) Calculate the chart's center line, UCL, and LCL.

b) Draw the chart and plot the first 35 data points, i.e., the ones you used to calculate the limits. Was the process in control during that period, or did it go out of control at any time? How do you know?

c) Finally, add the remaining 7 data points on your chart, i.e., the ones you did not use to calculate the limits. Was the process in control throughout that period, or did it go out of control at any time? How do you know

Sample #	Measurements from 5 capsules per sample
1	20.14	19.88	19.61	19.79	19.08
2	20.34	19.74	20.26	21.11	19.67
3	20.86	21.24	18.69	19.82	20.07
4	19.11	18.77	19.84	20.04	18.76
5	20.05	18.84	20.52	19.89	20.64
6	19.73	18.74	21.23	19.06	19.99
7	20.13	19.83	19.12	19.96	20.75
8	18.88	18.67	20.40	20.27	20.29
9	19.07	20.95	20.52	20.90	20.42
10	19.26	21.37	20.86	20.04	19.17
11	20.00	19.58	18.99	20.49	19.48
12	20.17	21.51	20.46	18.68	21.35
13	18.94	20.08	20.53	20.04	20.44
14	20.10	20.20	19.37	20.90	20.60
15	20.66	19.90	19.27	21.35	20.69
16	20.44	21.58	20.32	20.93	19.85
17	19.94	20.16	20.53	20.68	20.59
18	20.44	19.43	19.41	19.73	20.60
19	20.01	20.54	20.40	21.01	20.38
20	21.35	19.55	20.47	19.34	20.63
21	21.01	20.24	21.32	21.56	20.06
22	19.29	21.53	19.67	20.04	21.24
23	20.26	20.02	19.11	20.26	19.40
24	19.00	20.27	19.60	20.45	18.76
25	19.14	20.02	20.02	18.93	19.71
26	20.11	18.76	20.45	19.64	20.50
27	19.50	21.40	19.63	21.41	19.53
28	21.31	20.16	19.73	19.74	20.01
29	20.12	19.55	19.58	21.48	20.71
30	19.78	19.55	19.78	19.46	19.99
31	18.99	20.53	19.95	19.48	19.66
32	21.30	20.25	20.09	19.99	19.09
33	19.66	19.80	21.17	19.24	21.11
34	19.78	20.03	21.57	19.06	19.69
35	21.15	20.79	21.25	21.22	20.92
36	20.86	19.82	20.38	20.14	19.58
37	20.17	19.86	20.39	21.43	19.90
38	20.58	21.64	21.05	19.19	19.55
39	19.90	21.03	19.25	20.32	20.99
40	20.71	21.76	19.97	19.47	21.69
41	20.86	19.29	21.18	20.54	21.21
42	19.56	19.53	20.43	20.71	20.46