Hugh Morris is the production manager for Funny Bone Novelty Products a company that manufactures novelty store items such as plastic barf and fake dog doo. Hugh has to schedule
production for the new and improved Fly Ice product. This is a piece of clear plastic shaped like
an ice cube with a large nasty fly in the middle. Funny Bone only sells to retail novelty stores in
the U. S and there are 40,000 of these stores. He sent out a brochure to 400 randomly selected
novelty stores. He got back orders for 2,000 units of Fly Ice for an average of 5 per store with a
sample standard deviation of 2 units. Hugh will mail brochures to all 40,000 stores.
a. What is your forecast for the total number units ordered from the mass mailing to 40,000 stores?
b. Construct an 99% confidence interval around your forecast.