A random sample of 10 minature Tootsie Rolls were taken from a bag. Each piece were weighed on a very accurate scale. The results in grams were.
3.087, 3.131, 3.241, 3.41, 3.70, 3.353, 3.400, 3.411, 3.437, 3.477
a) construct a 90% confidence interval for the true mean weight.
b) what sample size would be necessary to estimate the true weight with an error +/- 0.03 grams with 90% confidence?
c) discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.