Homework Problem #4-11											
											
Sample	Item 1	Item 2	Item 3	Item 4	Item 5	Sample Mean	Range		Results	X-Bar	Range
1	1.3	2.4	0.7	3	1.8				UCL		
2	2.1	1.2	1	2.5	3.6				Mean		
3	4.2	3.3	2.6	1.5	3				LCL		
4	1.6	2.1	2.8	0.9	1.5						
5	2.6	3	1.4	4.6	1.9				N		
6	0.8	2.7	5.8	3.7	4.5				A2		
7	2.6	3.5	3.1	3.6	1.4				D3		
8	3.4	6.1	1.5	2.5	2.8				D4		
9	3.1	2.5	2.2	2.9	1.8						
10	2.4	4.8	5.9	3.2	4.4						
11	1.9	2.7	3.4	2.2	0.4						
12	6.1	4.9	2.1	3.6	5.2						
13	1.2	3.4	2.8	2.3	4.5						
14	2.4	2.9	3.4	2.3	2.5						
15	3.7	7	1.4	2.4	3.3						
16	3.6	2.7	4.8	2	1.7						
17	0.4	1.8	6.5	3.2	4.8						
18	5.3	2.9	3.4	4.8	4.4						
19	2.7	3.6	2.9	4.1	5.2						
20	4.7	2	2	3.1	1.8						
											
											
											
Sample	Sample Mean	LCL	CL	UCL	Range	LCL	CL	UCL			
1											
2											
3											
4											
5											
6											
7											
8											
9											
10											
11											
12											
13											
14											
15											
16											
17											
18											
19											
20											
											
											
											
											
"Sample size, n"	"Mean Factor, A2"	"Upper Range, D4"	"Lower Range, D3"								
2	1.88	3.268	0								
3	1.023	2.574	0								
4	0.729	2.282	0								
5	0.577	2.115	0								
6	0.483	2.004	0								
7	0.419	1.924	0.076								
8	0.373	1.864	0.136								
9	0.337	1.816	0.184								
10	0.308	1.777	0.223								
11	0.285	1.744	0.256								
12	0.266	1.716	0.284								
13	0.249	1.692	0.308								
14	0.235	1.671	0.329								
15	0.223	1.652	0.348								
16	0.212	1.636	0.364								
17	0.203	1.621	0.379								
18	0.194	1.608	0.392								
19	0.187	1.596	0.404								
20	0.18	1.586	0.414								
21	0.173	1.575	0.425								
22	0.167	1.566	0.434								
23	0.162	1.557	0.443								
24	0.157	1.548	0.452								
25	0.153	1.541	0.459