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"	0.65"	7	3.15"	0.58"	13	3.01"	0.90"	19	3.31"	1.61"
2	3.10	1.13	8	2.65	1.08	14	2.93	1.26	20	2.79	1.09
3	3.32	1.48	9	3.02	0.76	15	3.12	1.06	21	2.55	1.13
4	3.39	1.26	10	2.95	1.33	16	2.84	0.55	22	3.18	0.51
5	2.97	1.12	11	2.73	1.12	17	2.86	1.48	23	2.94	1.53
6	2.86	0.37	12	2.97	0.45	18	2.64	1.29	24	2.64	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):

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

IN CONTROL

OUT OF 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

.