Capacitors are manufactured on a production line. It is known that their capacitances have a coefficient of variation of 2.3%.

What is the probability that the capacitance of a capacitor will be between 0.990 and 1.010 if is the mean capacitance of the population? State any assumption.

We want to make the 99% confidence interval for the sample mean of the capacitances to be no larger than from 0.990 to 1.010, where is the population mean. What is the minimum sample size?