Question by Luzviminda O: Random Variables?
control of the heat in a chemical blending process at University Products company, Inc., is absolutely essential. too much or too little heat during the process produces polyvinyl isulation material that is either too brittle or flimsy that it can not support the weight of the roofing shingles which are normally laid on top of the insulation. past processes have produced an output with mean compression strenth of 150 psi and a standard deviation of 25 psi. Insulations with compression above 220 psi or below 105 psi is not usable. what portion of a days run of 50 tons of insulation will be usable if the heat control of the proces stays at the same level of effectiveness?
Answer by ron971
How about 96.1515% of 50 tons or 48.07575 tons?
Assuming that the described distribution is normal, then 220 psi is 2.8 standard deviations above the mean and 105 psi is 1.8 standard deviations below the mean. Referring to a normal curve table, the area under the curve between -1.8 SD and 2.8 SD equals 0.961515 or 96.1515%
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