Question: Sample # column and Observation # row 1 2 3 4 5 6 7 1 7.01 7 7.09 7.02 7.12 7.20 7 2 7.22 7.20

Sample # column and Observation # row

	1	2	3	4	5	6	7
1	7.01	7	7.09	7.02	7.12	7.20	7
2	7.22	7.20	7.17	7.07	7.02	6.99	7.01
3	6.97	7.09	7.11	7.15	7.05	6.98	7.17
4	7.13	7.17	7.24	7.07	7.14	7	7.16
5	7.13	7.06	7.10	7.29	7.11	7.05	7.10
6	7.10	6.95	7.03	7.21	7.13	7.04	7.15
7	7.25	7.08	7.03	7.08	7	7.25	7.13
8	7.17	7.10	7.02	7.18	6.96	7.05	6.99
9	7.17	6.98	7.15	7.11	7.05	7.16	7.16
10	7.24	7.17	7.04	7.06	7.14	7.25	7.02
11	6.98	7.07	7.21	7.28	7.04	7.10	7
12	7.20	7.09	7.07	6.93	6.99	7.20	6.96
13	7.04	7.14	7.09	7.15	7.19	7.09	7.21
14	7.03	7.03	7.15	7.06	7.09	7.16	7.20
15	7.13	7.14	7.11	7.07	7.04	7.13	7
16	7.11	7.15	7.02	7.13	7.18	7.12	7.15

2) Using the same data as question 1 (you will find it in worksheet Q2), construct x-bar and s charts by computing the central line and upper and lower control limits for each.

Observations 1 2 3 4 5 6 7 1 7 7.09 7.17 7.02 7.07 7.2 6.99 2 7.12 7.02 7.05 7.14 3 6.98 7.2 7.09 7.17 7.06 6.95 4 7.11 7.24 7.1 7.15 7.07 7 5 7.29 7.11 7.13 6 7.03 7 7.08 7.01 7.22 6.97 7.13 7.13 7.1 7.25 7.17 7.17 7.24 6.98 7.2 7.04 7.03 7.21 7.08 7.18 7 6.96 Sample 8 7.05 7.04 7.25 7.05 7.16 7.25 7.03 7.02 7.15 7.04 X-Bar Range 71 7.062857 0.2 7.01 7.097143 0.23 7.171 7.074286 0.2 7.16 7.13 0.24 7.1 7.12 0.24 7.15 7.087143 0.26 7.131 7.117143 0.25 6.991 7.067143 0.22 7.161 7.111429 0.19 7.02 7.131429 0.23 71 7.097143 0.3 6.96 7.062857 0.27 7.21 7.13 0.17 7.2 7.102857 0.17 7 7.088571 0.14 7.15 7.122857 0.16 113.6029 3.47 9 7.11 7.06 10 7.1 6.98 7.17 7.07 7.09 7.14 7.03 11 7.1 7.21 7.07 7.09 7.28 6.93 7.05 7.14 7.04 6.99 7.19 7.09 12 7.2 7.09 13 14 7.15 7.06 7.15 7.16 15 7.13 7.11 7.14 7.15 7.11 7.02 7.07 7.13 7.04 7.18 7.13 7.12 16 Summation 7 16 > no of observations 'n' no of sample 'k' Value of A2 Upper Control Limit Lower Control Limit 0.419 7.19 7.01)

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