Please show all your work with answer on the sheet

1. Small boxes of NutraFlakes cereal are labeled net weight 10 ounces. Below are the last four samples are taken. Each sample, random samples of size n=5 boxes are weighed to check process control. (50 points)

	Sample 1	Sample 2	Sample 3	Sample 4
	9.8	10.1	9.9	9.7
	10.4	10.2	10.5	9.8
	9.9	10.5	10.3	10.3
	10.3	9.8	10.1	10.2
	10.2	9.9	10.0	9.9
Totals	50.6	50.5	50.8	49.9
Mean					X=
Range					R=

Sample size (n)	(factor for X chart) A2	(factor for R chart) D3	Factor for R chart) D4
2	1.88	0.00	3.27
3	1.02	0.00	2.57
4	0.73	0.00	2.28
5	0.58	0.00	2.11
6	0.48	0.00	2.00
7	0.42	0.08	1.92
8	0.37	0.14	1.86
9	0.34	0.18	1.82
10	0.31	0.22	1.78
11	0.29	0.26	1.74
12	0.27	0.28	1.72
13	0.25	0.31	1.69
14	0.24	0.33	1.67
15	0.22	0.35	1.65

1. Compute the average of mean (X) and average range (R ). (5 points)

2. If the standard deviation of population is known as 0.24, compute upper and lower limits for a X chart. (15 points)

3. If the standard deviation of population is unknown, compute upper and lower limits for a X chart. (Obtain the Factor from the Factor table and use it in calculation, 15 points)

4. Compute the upper and lower limits for a R chart. (Obtain the Factor from the Factor table and use it in calculation, 15 points)