[Step-by-Step] A scale gives a reading equal to the true weights plus a random error that is normally distributed with mean 0 and standard deviation 0.1. Suppose
Question: A scale gives a reading equal to the true weights plus a random error that is normally distributed with mean 0 and standard deviation \(0.1\). Suppose the results of 4 successive weightings of the same object are as follows:
3.142 3.163 3.155 3.150
- Determine a 95% confidence interval
- Determine 99% confidence interval
- How large should the sample be if the population mean is to be estimated with 95% confidence within 0.01?
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