xyz company manufactures its product out of 5 different plants in the united states. each plant manufacturers the same exact product. after manufacturing the product, it is shipped to their distribution center which then distributes them to the various retail centers for sale to the end customers. how do i calculate these numbers? when i do, are these plants in or out of control? which plant is? 

 

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Every week a sample of 20 products is selected from each plants and tested for quality issues The products are randomly selected and weighed. The most recent 18 weeks of sampling ar listed below. Sample Taken Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Rochester, Altanta, GA Houston, TX Minneapolis, NY Plant MN Plant Plant Plant 175.2 195.6 202.1 198.9 208.4 205.2 203.9 195.7 234.2 190.8 201.5 199.8 211.1 202.4 200.4 195.2 145.2 196.9 194.4 234.1 197.2 209.3 177.7 200.8 202.7 151.1 201.3 202.9 186.2 196.9 203.3 210.7 198.7 194.8 204.8 194.9 230.6 197.4 195.0 210.8 189.5 210.6 218.0 194.1 220.9 194.4 185.3 208.1 195.7 211.8 213.5 164.2 223.9 205.7 193.6 205.6 198.3 204.4 203.3 198.0 190.2 197.4 205.6 191.4 195.9 198.0 213.3 211.3 203.6 196.0 200.1 204.6 205.7 197.2 197.3 199.4 197.2 199.6 197.1 202.1 San Diego, CA Plant 188.2 182.3 203.5 184.9 179.8 208.4 205.2 203.9 178.6 183.5 214.7 213.5 209.5 211.1 200.4 213.3 208.4 200.1 203.4 207.2 Every week a sample of 20 products is selected from each plants and tested for quality issues The products are randomly selected and weighed. The most recent 18 weeks of sampling ar listed below. Sample Taken Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Week 1 Rochester, Altanta, GA Houston, TX Minneapolis, NY Plant MN Plant Plant Plant 175.2 195.6 202.1 198.9 208.4 205.2 203.9 195.7 234.2 190.8 201.5 199.8 211.1 202.4 200.4 195.2 145.2 196.9 194.4 234.1 197.2 209.3 177.7 200.8 202.7 151.1 201.3 202.9 186.2 196.9 203.3 210.7 198.7 194.8 204.8 194.9 230.6 197.4 195.0 210.8 189.5 210.6 218.0 194.1 220.9 194.4 185.3 208.1 195.7 211.8 213.5 164.2 223.9 205.7 193.6 205.6 198.3 204.4 203.3 198.0 190.2 197.4 205.6 191.4 195.9 198.0 213.3 211.3 203.6 196.0 200.1 204.6 205.7 197.2 197.3 199.4 197.2 199.6 197.1 202.1 San Diego, CA Plant 188.2 182.3 203.5 184.9 179.8 208.4 205.2 203.9 178.6 183.5 214.7 213.5 209.5 211.1 200.4 213.3 208.4 200.1 203.4 207.2