The number of television sets produced daily from an assembly line is normally distributed with a mean of 430 sets and standard deviation of 20 sets. For 30 randomly selected days of the production...

The number of television sets produced daily from an assembly line is normally distributed with a mean of 430 sets and standard deviation of 20 sets. For 30 randomly selected days of the production line

(a) Construct a 95% confidence interval for the population mean number of sets per hour?

(b) What is margin of error used in (a)?

(c) What sample size should be taken so that a 95% confidence interval will have a margin of error less than 16 sets per day?