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For each batch of finished product four determinations are made of the total protein content. The re

Question: For each batch of finished product four determinations are made of the total protein content. The results for 20 batches were as follows:

Determination
Batch	1	2	3	4	x	R
1	45.3	46.0	46.6	44.2
2	47.6	44.5	46.5	45.3
3	47.2	44.9	43.2	45.2
4	45.8	45.1	45.0	44.1
5	44.7	43.0	45.3	45.0
6	46.2	45.8	46.3	44.2
7	44.5	44.8	45.0	44.2
8	44.3	46.9	44.3	43.7
9	44.7	45.5	46.6	45.2
10	45.1	45.6	45.2	46.9
11	46.1	46.9	43.7	44.0
12	44.8	46.0	44.0	45.2
13	44.3	45.4	45.4	47.5
14	47.2	43.1	45.4	44.3
15	45.6	44.3	42.6	42.3
16	44.4	45.6	43.7	44.4
17	45.6	41.5	42.9	43.5
18	47.3	44.1	46.8	45.7
19	45.9	44.6	46.7	44.7
20	45.0	42.9	46.7	47.4
					x =	R =

Use the data to establish the Upper and Lower Control Limits for the mean and range control charts and construct the charts (Note: charts do not have to be submitted through WebCT if you have constructed them manually rather than by computer).

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