(28) You are an engineer working in the process control department of a petrochemical plant. You have hired George, a postdoctoral fellow, to improve the performance of your control system. George has proposed a new control algorithm that involves the use of soft sensors. It gives a mean of 0.9855 for the purity with a standard deviation of 0.005 on a test of 1,000 samples.

Historically, the process has been run at 0.985 with a standard deviation of 0.01. Answer the following questions:

86 2 Theoretical Foundation for Statistical Analysis