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	3.35"	0.76"	7	3.05"	0.48"	13	3.01"	0.85"	19	4.51"	1.66"
2	3.00	1.18	8	2.55	1.18	14	2.73	1.26	20	2.79	1.14
3	3.32	1.38	9	3.12	0.76	15	3.02	1.06	21	2.65	1.08
4	3.29	1.31	10	2.85	1.28	16	2.74	0.55	22	3.38	0.46
5	3.07	1.12	11	2.93	1.22	17	2.96	1.43	23	2.94	1.53
6	2.86	0.37	12	3.07	0.35	18	2.64	1.34	24	2.64	0.92

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):

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

OUT OF CONTROL

IN CONTROL

.

The control limits for the

3-sigma

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

calculations):

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

.