Sample Size, n	Mean Factor, A2	Upper Range, D4	Lower Range, D3
2	1.880	3.268	0
3	1.023	2.574	0
4	0.729	2.282	0
5	0.577	2.115	0
6	0.483	2.004	0
7	0.419	1.924	0.076
8	0.373	1.864	0.136
9	0.337	1.816	0.184
10	0.308	1.777	0.223
12	0.266	1.716	0.284

Question content area

Part 1

Refer to

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

LOADING...

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"	0.71"	7	2.95"	0.53"	13	3.21"	0.85"	19	3.41"	1.61"
2	3.10	1.13	8	2.55	1.13	14	2.93	1.36	20	2.99	1.09
3	3.12	1.43	9	3.12	0.76	15	3.02	1.11	21	2.65	1.13
4	3.49	1.21	10	2.95	1.28	16	2.94	0.55	22	3.38	0.41
5	3.17	1.12	11	2.73	1.12	17	2.96	1.48	23	2.84	1.53
6	2.96	0.37	12	2.97	0.45	18	2.84	1.29	24	2.54	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 furthercalculations):

Upper Control Limit (UCLx) = enter your response here inches (round your response to three decimal places).

Lower Control Limit (LCLx) = enter your response here inches (round your response to three decimal places).

Based on the x-chart, the wire cutting process has been

IN CONTROL

OUT OF CONTROL

.

The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with furthercalculations):

Upper Control Limit(UCLR) = enter your response here inches (round your response to three decimal places).

Lower Control Limit (LCLR) = enter your response here inches (round your response to three decimal places).

Based on the R-chart, the wire cutting process has been

IN CONTROL

OUT OF CONTROL

.