A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.18, 3.21, 3.35, 3.42, 3.23, 3.46, 3.47, 3.29, 3.37, 3.41
(a) Construct a 99 percent 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 95 percent confidence?