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

LOADING...

for this problem.

Sampling

44

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

Hour	Bold x overbarx	R	Hour	Bold x overbarx	R	Hour	Bold x overbarx	R	Hour	Bold x overbarx	R
1	3.353.35"	0.650.65"	7	3.053.05"	0.580.58"	13	3.213.21"	0.900.90"	19	3.313.31"	1.661.66"
2	3.103.10	1.131.13	8	2.552.55	1.181.18	14	2.832.83	1.361.36	20	2.892.89	1.041.04
3	3.223.22	1.431.43	9	3.023.02	0.660.66	15	3.123.12	1.111.11	21	2.752.75	1.131.13
4	3.293.29	1.261.26	10	2.852.85	1.281.28	16	2.842.84	0.500.50	22	3.383.38	0.510.51
5	3.073.07	1.121.12	11	2.932.93	1.221.22	17	2.962.96	1.481.48	23	3.043.04	1.531.53
6	2.962.96	0.320.32	12	2.872.87	0.350.35	18	2.742.74	1.241.24	24	2.642.64	0.970.97

Based on the sampling done,

the

control limits for 3-sigma

x overbarx

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

calculations):

Upper Control Limit

(UCL Subscript x overbarUCLx)

=

nothing

inches (round your response to three decimal places).

Lower Control Limit

(LCL Subscript x overbarLCLx)

=

nothing

inches (round your response to three decimal places).

Based on the

x overbarx-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 further

calculations):

Upper Control Limit

(UCL Subscript Upper RUCLR)

=

nothing

inches (round your response to three decimal places).

Lower Control Limit

(LCL Subscript Upper RLCLR)

=

nothing

inches (round your response to three decimal places).

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

IN CONTROL

OUT OF CONTROL

.