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[All Steps] For a faculty and staff party in the Statistics Department, two professors are in charge of buying boxes of chocolates. Professor "A" goes to Wholefoods

Question: For a faculty and staff party in the Statistics Department, two professors are in charge of buying boxes of chocolates. Professor "A" goes to Wholefoods and buys 20 boxes of chocolate. The average weight of this set of boxes is 200 grams with an SD of 25 grams. Professor "B" goes to Safeway and buys 15 boxes of chocolates. The average weight of this set of boxes is 175 grams with an SD of 36. In the department’s office, all the boxes are shuffled together.

  1. What is the standard deviation of all the boxes?
  2. The average weight of 10 randomly selected boxes will be around ____give or take ____or so.

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