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The Ground Nugget Potato Company wants to sell its potatoes overseas in brown octagonal gift boxes....

The Ground Nugget Potato Company wants to sell its potatoes overseas in brown octagonal gift boxes. To create the design and make sure the boxes have the proper thickness, researchers need to estimate the average weight of the company's potatoes. A random sample of 100 potatoes has a mean of 700 grams and a standard deviation of .89 grams. (include all the steps required for the AP Exam)

a. Construct and interpret a 90% confidence interval for the mean weight of the potatoes.

b. How are the sample size and the margin of error related?

c. If the company knows that it’s boxes can handle up to 700 grams of weight should they put 100 potatoes in the box? Explain.
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