Need 3 pages paper APA format 7 formatted paper

Subject: Applied Statistical Methodology for Research Design

Develop and write a 3-5 page APA 7 th ed. Formatted paper: 

Using your textbook, LIRN-based research, and the Internet, provide a complete solution to the Case Problem (Specialty Toys) presented at the end of Chapter 6 in the textbook. Include in-text citations.

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Prepare a managerial report that addresses the following issues and recommends an order quantity for the weather Teddy product. In your report, answer the following five questions: 

Use the sales forecaster’s prediction to describe a normal probability distribution that can be used to approximate the demand distribution. Sketch the distribution and show its mean and standard deviation. 
Compute the probability of a stockout for the order quantities suggested by members of the management team. 
Compute the projected profit for the order quantities suggested by the management team under three scenarios: worst case in which sales = 10,000 units, most likely case in which sales = 20,000 units, and best case in which sales = 30,000 units. 
One of Specialty’s managers felt that the profit potential was so great that the order quantity should have a 70% chance of meeting demand and only a 30% chance of any stockouts. What quantity would be ordered under this policy, and what is the projected profit under the three sales scenarios? 
Provide your own recommendation for an order quantity and note the associated profit projections. Provide a rationale for your recommendation. 

Please be sure to include in-text citations and peer reviewed references in APA format in your discussion post.