Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem.

Sampling 4 pieces of precision-cut wire (to be used in computer assembly)every hour for the past 24 hours has produced the following results:

Hour Xbar R Hour Xbar R Hour Xbar R Hour Xbar R 1 3.15 0.65 7 3.15 0.53 13 3.11 0.90 19 3.41 1.56 2 3.00 1.18 8 2.65 1.18 14 2.93 1.36 20 2.99 1.04 3 3.22 1.38 9 3.12 0.71 15 3.22 1.01 21 2.65 1.08 4 3.49 1.31 10 2.95 1.38 16 2.84 0.50 22 3.18 0.41 5 2.97 1.17 11 2.83 1.22 17 2.96 1.38 23 2.94 1.58 6 2.86 0.42 12 3.07 0.35 18 2.74 1.29 24 2.74 0.97

Question content area

Part 1

Refer to

Table S6.1 - Factors for Computing Control Chart Limits (3 sigma)

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for this problem.

Sampling

4

pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results:

Hour	x	R	Hour	x	R	Hour	x	R	Hour	x	R
1	3.15"	0.65"	7	3.15"	0.53"	13	3.11"	0.90"	19	3.41"	1.56"
2	3.00	1.18	8	2.65	1.18	14	2.93	1.36	20	2.99	1.04
3	3.22	1.38	9	3.12	0.71	15	3.22	1.01	21	2.65	1.08
4	3.49	1.31	10	2.95	1.38	16	2.84	0.50	22	3.18	0.41
5	2.97	1.17	11	2.83	1.22	17	2.96	1.38	23	2.94	1.58
6	2.86	0.42	12	3.07	0.35	18	2.74	1.29	24	2.74	0.97

Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations):

Based on the x-chart ne wive catsug procees has baen