A random sample of 10 miniature tootsie rolls was taken from a bag, each piece was weighed on a very accurate scale.
Results: 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
a) Develop a 90% confidence interval for the true mean weight.
b) What sample size would be necessary to estimate the true weight with an error of +/- 0.03 grams with 90% confidence?
c) What factors could cause variations in the weight of tootsie rolls during manufacture?