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. Using previous research, you assume a population standard deviation σ of .89 grams.
A. Create a 95% confidence interval for the mean weight of the potatoes.
B. Give the minimum sample size for creating a 95% confidence interval with a margin of error of .5 grams
C. For part B, why could the sample size be so much smaller?