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In: Statistics and Probability

Researchers investigates how the size of a bowl affects how much ice-cream people tend to scoop...

Researchers investigates how the size of a bowl affects how much ice-cream people tend to scoop when serving themselves. People were randomly given a 17-oz bowl or a 34-oz bowl. They were then invited to scoop as much ice cream as they liked. Here are the summaries:

Small Bowl: n=26, y=5.07 oz, s=1.87 oz

Big Bowl: n=22, y=6.58 oz, s=2.91 oz

  1. Calculate the 90% confidence interval for the difference in portion size between the big and small bowl. Put the CI in a sentence.
  2. Use the 4-step approach to test an appropriate hypothesis and answer the question: Did the bowl size change the selected portion size?

Please show all work. Typed work only. no handwritten.

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