In: Statistics and Probability
Solve step-by-step:
X-bar and S control Chart
Subgroup |
X1 |
X2 |
X3 |
X4 |
X-bar |
S |
1 |
1.2 |
1.3 |
1.2 |
2.2 |
||
2 |
3.3 |
1.2 |
1.2 |
3.2 |
||
3 |
1.2 |
1.3 |
1 |
1.3 |
||
4 |
3.4 |
1.2 |
3.1 |
2.1 |
||
5 |
2.3 |
3.3 |
2.2 |
2.3 |
||
6 |
3.1 |
3.3 |
3 |
3.1 |
||
7 |
3.1 |
1.2 |
2.1 |
2.4 |
||
8 |
2.4 |
1.4 |
3 |
2.4 |
||
9 |
4.1 |
4.2 |
4.1 |
4.2 |
||
10 |
1.3 |
3 |
1.3 |
1.3 |
||
11 |
2.3 |
1 |
1.4 |
3.3 |
||
12 |
3.3 |
2.4 |
3.3 |
1.1 |
||
13 |
1.4 |
3.4 |
1.3 |
3.2 |
||
14 |
3.1 |
1.3 |
2 |
1.3 |
||
15 |
2.2 |
2.4 |
1.4 |
2.3 |
||
16 |
2.1 |
3.2 |
3.2 |
3.3 |
||
17 |
1.1 |
1.1 |
2.2 |
2.3 |
||
18 |
1.1 |
3.3 |
1.3 |
2.1 |
||
19 |
2.1 |
2.3 |
1.2 |
3.2 |
||
20 |
0.9 |
4.3 |
1.2 |
0.9 |
||
21 |
3 |
3.1 |
2.3 |
2.3 |
||
22 |
2.3 |
2.3 |
3.2 |
2 |
||
23 |
2.1 |
1.3 |
1.2 |
3.3 |
||
24 |
3 |
3.2 |
1.2 |
1.2 |
||
25 |
3 |
3 |
2.3 |
2.3 |
a. Determine the Trial UCL, CL, and LCL for both charts of X-bar and S
b. Determine Revised UCL, CL, LCL for both charts of X-bar and S