Question 1:

A quality engineer at Lockheed Martin is required as a part of ISO AS9100 certification to check the tolerances on all aerospace components every hour. The Quality Assurance team utilizes x-bar and R-charts to monitor the process. Eight times throughout the course of a shift, the quality engineer collects four samples (n=4) from a manufacturing line for inspection. The data collected by the engineer for this part is as follows:

Mean (mm) Range (mm)

Group 1	12.01	0.4
Group 2	13.28	0.6
Group 3	14.01	0.2
Group 4	13.99	0.5
Group 5	14.13	0.6
Group 6	13.73	0.3
Group 7	14.42	0.8
Group 8	13.97	0.4

What is the R-bar Upper Control Limit (UCL_R)?

Question 1 options:

a) 1.247

b) 1.084

c) 1.907

d) 1.842

Question 2:

Paxil CR tablets are supposed to weigh exactly 10 mg. The Quality Assurance team takes ten samples of six pills each day and weighs them. Based on the following data, compute the lower and upper control limits, graph the x-bar and range charts, and determine whether the process is in control.

Group	Mean	Range
1	10.7	0.4
2	10.2	0.3
3	9.9	0.2
4	10.2	0.3
5	10.3	0.6
6	10.1	0.2
7	10.4	0.5
8	10.1	0.2
9	9.9	0.2
10	10.4	0.3

What is the X-bar Upper Control Limit (UCL_x)?

a) 10.375

b) 9.227

c) 11.063

d) 10.672

Question 3:

Paxil CR tablets are supposed to weigh exactly 10 mg. The Quality Assurance team takes ten samples of six pills each day and weighs them. Based on the following data, compute the lower and upper control limits, graph the x-bar and range charts, and determine whether the process is in control.

Group	Mean	Range
1	10.7	0.4
2	10.2	0.3
3	9.9	0.2
4	10.2	0.3
5	10.3	0.6
6	10.1	0.2
7	10.4	0.5
8	10.1	0.2
9	9.9	0.2
10	10.4	0.3

What is the X-bar Lower Control Limit (LCL_x)?

a) 10.065

b) 10.94

c) 10.664

d) 10.613