In a sample of 100 steel canisters, the mean wall thickness was (8.1 mathrm{~mm}) with a standard
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In a sample of 100 steel canisters, the mean wall thickness was \(8.1 \mathrm{~mm}\) with a standard deviation of \(0.5 \mathrm{~mm}\).
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. Approximately how many canisters must be sampled so that a 95\% confidence interval will specify the mean wall thickness to within \(\pm 0.08 \mathrm{~mm}\) ?
d. Approximately how many canisters must be sampled so that a \(99 \%\) confidence interval will specify the mean wall thickness to within \(\pm 0.08 \mathrm{~mm}\) ?
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