1. The yields from an ethanol-water distillation column have a standard deviation of 0.01. Process specifications call for a target yield of 0.93. Management wishes to detect any decrease in the true mean yield.
0.90 0.93 0.95 0.86
0.90 0.87 0.93 0.92
b. Based on the sample of 8 observations in part a, construct a 99% confidence interval
for the true mean yield of the process.
c. Discuss the relationship between your response to part a and part b.
d. What is P, the probability of not rejecting the null hypothesis of part a, when in fact
the true yield of the process is 0.925? What is (1-P), the probability of rejecting the
null hypothesis of part a, when in fact the true yield of the process is 0.925?
Solutions to various statistical questions are provided.
The solution is detailed and well presented.