A sample of 75 concrete blocks had a mean mass of (38.3 mathrm{~kg}) with a standard deviation
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A sample of 75 concrete blocks had a mean mass of \(38.3 \mathrm{~kg}\) with a standard deviation of \(0.6 \mathrm{~kg}\).
a. Find a 95\% confidence interval for the mean mass of this type of concrete block.
b. Find a \(99 \%\) confidence interval for the mean mass of this type of concrete block.
c. Approximately how many blocks must be sampled so that a \(95 \%\) confidence interval will specify the mean mass to within \(\pm 0.1 \mathrm{~kg}\) ?
d. Approximately how many blocks must be sampled so that a \(99 \%\) confidence interval will specify the mean mass to within \(\pm 0.1 \mathrm{~kg}\) ?
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