In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.5 mm. a) Find a 95% confidence interval for the mean wall thickness of this type of canister. b) Find a 99% confidence interval for the mean wall thickness of this type of canister. c) An engineer claims that the mean thickness is between 8.02 and 8.18 mm. With what level of confidence can this statement be made? d) How many canisters must be sampled so that a 95% confidence interval will specify the mean wall thickness to within ±0.08 mm? e) How many canisters must be sampled so that a 99% confidence interval will specify the mean wall thickness to within ±0.08 mm?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.