A monitoring system records the production of an assembly line each hour. The design calls for output to be four units per hour. Current policy calls for stopping the line to check for flaws if fewer...

A monitoring system records the production of an assembly line each hour. The design calls for output to be four units per hour. Current policy calls for stopping the line to check for flaws if fewer than two items are produced in an hour.

(a) What random variable seems suited to modeling the number of items produced each hour? What assumptions would you need to verify?

(b) What is the chance of a Type I error in this procedure? Use the random variable chosen in part (a).

(c) What is the chance of a Type II error in this procedure if production falls to three units per hour?