AnderSet Laboratories produces rough lenses that will ultimately be ground into precision lenses for use in laboratory equipment. The company has developed the following thickness measures, based on 15 samples of four lenses that were taken when the process was under control:

view the sample data.

Mean (Microns) (N=4);Minimum;Maximum 3.876;3.658;3.952 4.057;3.701;4.298 4.061;4.012;4.453 3.892;3.784;3.952 3.569;3.534;4.071 4.372;3.526;4.521 3.355;2.955;3.931 4.541;3.782;5.627 3.071;2.848;4.265 5.334;5.169;6.312 4.208;4.081;4.222 4.143;3.988;4.344 4.298;3.955;4.324 3.628;3.603;3.815 4.153;4.027;4.237

to view the values of the A2, D3, and D4 constants.

Sample Size N	A2	D3	D4
2	1.88	0	3.27
3	1.02	0	2.57
4	0.73	0	2.28
5	0.58	0	2.11
6	0.48	0	2.00
7	0.42	0.08	1.92
8	0.37	0.14	1.86
9	0.34	0.18	1.82
10	0.31	0.22	1.78
11	0.29	0.26	1.74
12	0.27	0.28	1.72

Part 2a.

X=

(Enter your response rounded to three decimal places.)

Part 3

R=

(Enter your response rounded to three decimal places.)

Part 4Upper Control Limit (UCLX)=

(Enter your response rounded to three decimal places.)

Part 5Lower Control Limit (LCLX)=

(Enter your response rounded to three decimal places.)

Part 6Upper Control Limit (UCLR)=

(Enter your response rounded to three decimal places.)

Lower Control Limit. (LCLR)=

(Enter your response rounded to three decimal places.)

Can the process be "under control" in statistical terms but still fail to meet the needs of AnderSet's customers?

A.

No, if the process is "under control," it always meets the needs of AnderSet's customers.

B.

Yes, if the customers require lower amounts of lenses to be produced than scheduled.

C.

Yes, if the customers have tolerance limits that are considerably tighter than the process is capable of delivering.

Choose the correct X chart below.

Choose the correct R chart below.