Problem #1

The following manufactured products have a nominal time of 80 minutes. Samples of seven observations each have been taken, and the results are as listed. Using at least two SPC techniques, determine the upper and lower control limits (using three sigma) and respond to the following questions:

Present your control charts and briefly discuss your findings and control limits.

Briefly discuss if the process is in control

Sample 1 78 80 79 78 80 78

Sample 2 77 78 79 79 75 81

Sample 3 79 81 80 79 80 80

Sample 4 77 80 80 79 80 80

Sample 5 81 76 80 80 78 82

Sample 6 78 78 80 82 81 81

Sample 7 77 78 80 78 77 78

Problem #2

The registrar of a New England college receives a certain number of complaints each week about student registrations. Determine three-sigma control limits using the following data. Present your control chart and briefly discuss if the process is in control, your findings, and the control limits:

Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

# of Complaints 5 11 17 8 6 8 11 14 4 5 10 7 8 6 7 8

Problem #3

An inspector counted the percent of defectives (out of 100 samples) of a monthly billing statement of a company. Using the following data set, construct a control chart that will describe three sigma of the chance variation in the process.

Present your control charts and briefly discuss if the process is in control, your findings, and control limits.

Sample	Defects
1	8
2	11
3	12
4	6
5	9
6	11
7	10
8	17
9	13
10	10
11	10
12	12
13	8
14	10
15	16
16	11
17	8
18	12
19	10
20	19

Problem #4

Set up your own statistical process control application from your current work environment (or one you are familiar with) using one Range chart, one X bar chart, one p chart and one C chart. Feel free to fabricate your own data to develop the models. Lastly, provide a brief description of your application and a brief conclusion of the findings, if the process is in control, and your control limits.

Include the full QC output, one-paragraph description as well as UCLs/ LCLs charts for each outcome. Be sure to use QM for Windows, QM for Excel or Excel.