College of Administrative and Financial Sciences

Assignment 2
College of Administrative and Financial Sciences

Table of Contents
Answer to question 1..................................................................................................................3
Answer to question 2:.................................................................................................................4
Bibliography...............................................................................................................................6

Answer to question 1
The given data set is mentioned as below:
0.01 0.01 0.0 0.04 0.01 0.01
0.00 0.01 0.02 0.02 0.03 0.03
[a] The mean proportion defective is calculated as
p=(0.01+ 0.01+0.0+0.04 +0.01+0.01+0.0+0.01+0.02+ 0.02+ 0.03+0.03)
12
Or, p = 0.19/12
Or, p = 0.015833333
The UCL can be calculated as
UCL=0.015833333+ 3∗ √ 0.015833333∗(1−0.015833333)
12
Or, UCL = 0.123939666
The LCL can be calculated as
L CL=0.015833333−3∗
√ 0.015833333∗(1−0.015833333)
12
Or, LCL = -0.092272999
[b] Control Chart
UCL Data LCL CL
0.1239
4 0
-
0.0923
0.0158
3
0.1239
4 0.01
-
0.0923
0.0158
3
0.1239
4 0.02
-
0.0923
0.0158
3
0.1239
4 0.02
-
0.0923
0.0158
3
0.1239
4 0.03
-
0.0923
0.0158
3
0.1239
4 0.03
-
0.0923
0.0158
3
0.1239
4 0.01
-
0.0923
0.0158
3
0.1239
4 0.01
-
0.0923
0.0158
3
0.1239
4 0
-
0.0923
0.0158
3
0.1239 0.04 - 0.0158