The Shoe Store manufactures athletic shoes. The company wants to establish a p-chart to monitor the production process using Z = 3.00. The company has taken a sample of 50 shoes every 4 hours for a work week of five days. Since the company runs two 8-hour shifts each day, this will result in 20 samples. The sample results are as follows.
|
Sample
|
Number of
Defectives
|
Proportion
Defective
|
Sample
|
Number of
Defectives
|
Proportion
Defective
|
|
1
|
0
|
0.00
|
11
|
4
|
0.08
|
|
2
|
1
|
0.02
|
12
|
1
|
0.02
|
|
3
|
0
|
0.00
|
13
|
1
|
0.02
|
|
4
|
3
|
0.06
|
14
|
2
|
0.04
|
|
5
|
2
|
0.04
|
15
|
2
|
0.04
|
|
6
|
5
|
0.10
|
16
|
3
|
0.06
|
|
7
|
3
|
0.06
|
17
|
4
|
0.08
|
|
8
|
2
|
0.04
|
18
|
1
|
0.02
|
|
9
|
1
|
0.02
|
19
|
5
|
0.10
|
|
10
|
0
|
0.00
|
20
|
2
|
0.04
|
The population proportion defective is not known. Construct a p-chart to monitor this process.