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Hugh Morris is the production manager for Funny Bone Products a company that manufactures novelty store items such as plastic barf and fake dog doo.

Hugh Morris is the production manager for Funny Bone 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. Hugh looked up the SIC code for domestic retail novelty stores and found that there are 40,000 stores. Hugh called a mailing house and obtained mailing labels for 225 of these companies. He then sent out brochures to these stores announcing the new and improved Fly Ice product. He got orders for 2,250 units of Fly Ice from the mailing with a sample standard deviation of 7.5 units. Hugh eventually intends to mail the brochure to all 40,000 stores.a. Do you think that the histogram for the sample of 225 is a normal curve? b. What is your best guess as to the average sales per store from the mass mailing to 40,000 stores?c. Construct a 68% and a 95% confidence interval around your estimated. What is your best guess as to the total sales from the mass mailing to 40,000 stores?e. Construct a 68% and a 95% confidence interval around your estimatef. If Hugh wants to be 97.5% sure that he has enough units for the mass mailing to the 40,000 stores, how many units of Fly Ice should he produce?

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