Question

A simple random sample is drawn from a population for estimating the mean of the population....

A simple random sample is drawn from a population for estimating the mean of the population. The mean from the sample is 25.6 and the sample size is 60.\

1. If the population standard deviation is known to be 10.5, construct a 95% confidence interval for the population mean.

2. If the population standard deviation is not known but the sample standard deviation is calculated to be 11.5, construct a 95% confidence interval for the population mean.

3. Do we need to make any assumption in constructing the confidence interval?

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