Question

1. Five samples of table legs produced in an automated cutting process were taken each hour for 20 hours. The length of a table leg in centimeters was measured, and yielded averages and ranges show in the below table. Assume the sample size (n) is 5.

Sample	Avg Length ()	Range (R)
1	95.72	1.0
2	95.24	0.9
3	95.18	0.8
4	95.44	0.4
5	95.46	0.5
6	95.32	1.1
7	95.40	0.9
8	95.44	0.3
9	95.08	0.2
10	95.50	0.6
11	95.80	0.6
12	95.22	0.2
13	95.56	1.3
14	95.22	0.5
15	95.04	0.8
16	95.72	1.1
17	94.82	0.6
18	95.46	0.5
19	95.60	0.4
20	95.74	0.6

1. 1. Use the data to construct an chart and an R chart. Show all steps and all your work, including: Overall Mean and Overall Average Range; Calculations for Center Line, Upper Control Limit, and Lower Contol Limit, Visual representation of the control chart (either plotted in Excel or drawn to scale on graph paper). You must show all work for full credit.
   2. Is the process in control or out of control? Explain why thoroughly.
2. A fast-food franchise tracked the number of errors that occurred in customers’ orders. These included wrong menu item, wrong drink size, lack of condiments, wrong price total, etc. Some orders may have had more than one error. In one week, 1250 orders were filled, and a total of 30 errors were discovered. Find the Midline (, and the Upper and Lower Control Limits for a c chart. Show all your work for full credit.

Answer 1

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