Use the information in the above table to compute the

Question

Use the data in the table below to answer problems 1 and 2

To receive full credit for the problems below, you must show:
*The equations you used to arrive at your solution.
*The numbers you substituted into those equations.

Subgroup	Data 1	Data 2	Data 3	Data 4	Data 5	Comments	Average	Range
1	84.7	84.8	85.2	85.1	85.0		84.96	0.50
2	85.4	85.0	84.6	84.9	85.2		85.02	0.80
3	84.9	85.0	85.1	85.1	84.9		85.00	0.20
4	84.1	84.2	84.0	84.3	84.0	New Employee	84.12	0.30
5	85.1	84.8	85.0	84.9	84.8		84.92	0.30
6	85.2	84.8	84.9	85.1	85.1		85.02	0.40
7	85.3	85.4	85.1	85.0	85.2	Just Lubricated	85.20	0.40
8	85.1	84.9	85.2	85.1	85.0		85.06	0.30
9	84.5	84.8	84.6	84.7	84.5	New lot of raw material	84.62	0.30
10	84.8	85.1	85.3	85.5	85.2		85.18	0.70
11	84.9	84.8	85.0	85.1	85.2		85.00	0.40
12	85.3	85.0	85.2	84.7	84.9		85.02	0.60
13	84.6	84.7	84.9	84.8	84.7		84.74	0.30
14	85.0	85.1	85.0	85.0	85.1	Different Materials	85.04	0.10
15	85.2	84.9	85.0	85.1	84.9		85.02	0.30
16	85.3	84.9	85.2	84.9	85.0		85.06	0.40
17	84.9	85.7	85.6	84.2	84.3	New Tool Installed	84.94	1.50
18	85.3	85.1	84.7	84.9	85.0		85.00	0.60
19	85.1	85.2	85.3	84.9	85.1		85.12	0.40
20	84.8	84.9	85.2	85.0	85.1		85.00	0.40
						Average	84.95	0.46

1: Use the information in the above table to compute the Control Limits for an Average and a Range Control Chart.

2: Do NOT assume assignable cause variation. If there are any subgroups out-of-control, use the "Comments" column to determine if assignable cause variation is present. Discard any subgroups that are out of control and have assignable cause variation and calculate revised Control Limits for an Average and a Range Control Chart. Only look at whether they are outside the control limit- not all the zone rules. Be sure to list any subgroups that are removed.