Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem.

Sample Size, n	Mean Factor, A2	Upper Range, D4	Lower Range, D3
2	1.880	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
12	0.266	1.716	0.284

Twelvesamples,each containing fiveparts,were taken from a process that produces steel rods at EmmanualKodzi'sfactory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The resultswere:

Sample Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 10.200 0.044 7 10.203 0.021 2 10.202 0.051 8 10.203 0.058 3 10.189 0.042 9 10.197 0.039 4 10.206 0.037 10 10.203 0.038 5 10.199 0.048 11 10.203 0.054 6 10.197 0.053 12 10.206 0.061

Upper control limit UCLx= _____inches

Lower control limitLCLx= ____ inches

For the given data the R= _____ inches

Upper control limit UCLr= _____ inches

Lower Control limit LCLr=_______ inches