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"	0.76"	7	3.15"	0.53"	13	3.01"	0.90"	19	4.51"	1.66"
2	3.20	1.18	8	2.75	1.13	14	2.73	1.31	20	2.79	1.04
3	3.32	1.43	9	3.02	0.76	15	3.12	1.06	21	2.65	1.13
4	3.39	1.26	10	2.95	1.28	16	2.94	0.55	22	3.28	0.46
5	2.97	1.22	11	2.83	1.22	17	2.86	1.38	23	2.84	1.58
6	2.96	0.42	12	2.87	0.35	18	2.74	1.34	24	2.74	1.02

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):

Part 2

Upper Control Limit

(UCLx)

=

enter your response here

inches (round your response to three decimal places).

Part 3

Lower Control Limit

(LCLx)

=

enter your response here

inches (round your response to three decimal places).

Part 4

Based on the

x-chart,

the wire cutting process has been

OUT OF CONTROL

IN CONTROL

.

Part 5

The control limits for the

3-sigma

R-chart are (round all intermediate calculations to three decimal places before proceeding with further

calculations):

Part 6

Upper Control Limit

(UCLR)

=

enter your response here

inches (round your response to three decimal places).

Part 7

Lower Control Limit

(LCLR)

=

enter your response here

inches (round your response to three decimal places).

Part 8

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

IN CONTROL

OUT OF CONTROL

.