The reason that we want to develop a confidence interval for the population mean is because

Two answers correct. All or nothing credit.

1. the chance that the sample mean is equal to the population mean is zero.

2. the sample mean is an efficient estimate of the population mean.

3. the standard error of the sample mean is an efficient estimate of the population error.

4. the value of the sample mean varies from sample to sample.

5. the sampling distribution of the sample mean is normally distributed.