Confidence intervals for the population mean
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After surveying \(20\) swimmers at a local swimming complex, it is found that the average distance that they intended to swim was \(1.5 \, \text{km}\). The standard deviation was \(0.4 \, \text{km}\). Find:
i) the \(95 \%\) confidence level.
ii) the \(99 \%\) confidence level.
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