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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

3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477

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 grams with 90 percent confidence?

c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.

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Statistics and Probability, Statistics

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