The Iowa Energy are scheduled to play against the Maine Red Claws in an upcoming game in the National Basketball Association Developmental League (NBA-DL). Because a player in the NBA-DL is still developing their skills, the number of points he scores in a game can vary. Assume that each player's point production can be represented as an integer uniform

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The Iowa Energy are scheduled to play against the Maine Red Claws in an upcoming game in the National Basketball Association Developmental League (NBA-DL). Because a player in the NBA-DL is still developing their skills, the number of points he scores in a game can vary. Assume that each player's point production can be represented as an integer uniform variable with the ranges provided in the table below.

 

Player Iowa Energy Maine Red Claws
1 [5, 20] [7, 12]
2 [7, 20] [15, 20]
3 [5, 10] [10, 20]
4 [10, 40] [15, 30]
5 [6, 20] [5, 10]
6 [3, 10] [1, 20]
7 [2, 5] [1, 4]
8 [2, 4] [2, 4]

 

 

  1. Develop a spreadsheet model that simulates the points scored by each team. Use at least 1,000 trials. What is the average and standard deviation of points scored by the Iowa Energy? If required, round your answer to one decimal place.

    Average = fill in the blank 1

    Standard Deviation = fill in the blank 2

    What is the shape of the distribution of points scored by the Iowa Energy?

     


  2. What is the average and standard deviation of points scored by the Maine Red Claws? If required, round your answer to one decimal place.

    Average = fill in the blank 4

    Standard Deviation = fill in the blank 5

    What is the shape of the distribution of points scored by the Maine Red Claws?

     


  3. Let Point Differential = Iowa Energy points - Maine Red Claw points. What is the average point differential between the Iowa Energy and Maine Red Claws? If required, round your answer to one decimal place.

    fill in the blank 7
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