dolution
Statistical Process Control
Z-Mobile, Inc. is a cell phone manufacturer. They employ a sampling procedure where they sample 200 cellular phones every day. The following table is the sample data
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Sample Size |
Number of Defective Phones |
p (Proportion of Defects) |
|
1 |
200 |
12 |
0.06 |
|
2 |
200 |
10 |
0.05 |
|
3 |
200 |
12 |
0.06 |
|
4 |
200 |
8 |
0.04 |
|
5 |
200 |
9 |
0.045 |
|
6 |
200 |
14 |
0.07 |
|
7 |
200 |
12 |
0.06 |
|
8 |
200 |
10 |
0.05 |
|
9 |
200 |
12 |
0.06 |
|
10 |
200 |
10 |
0.05 |
|
11 |
200 |
20 |
0.1 |
|
12 |
200 |
23 |
0.115 |
|
13 |
200 |
17 |
0.085 |
|
14 |
200 |
18 |
0.09 |
The manager wants to use the first 7 days’ data to create the benchmark of the production process. She decides to use a p-chart to monitor the process. What is the process mean and standard deviation during the benchmark phase?
Mean: ???
Standard deviation: ???
What are the resulting upper and lower control limits? Use three-sigma control limits.
Upper Control Limit: ???
Lower Control Limit: ??
Are there any day(s) when the process might be out of control? Why? (You may select 1 day or a range of days as the basis for your answer.)
Day(s): ???
Reason: ???
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