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

(a) Construct a 90 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 gram with 90 percent Tootsie confidence? (Data are from a project by MBA student Henry Scussel.)

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3.087 3.13 3.241 3241 3270 3.353 3400 3411 3.437 3.477