Answer:
3. the sampling distribution of the sample mean is normally distributed.
5. the value of the sample mean varies from sample to sample.
Explanation:
We develop confidence interval for population mean because
a. the sampling distribution of the sampling mean is normally distributed. For us to do this we must first ensure that the sample mean is large enough
B. The value of the sample mean is not the same for all samples it varies from sample to sample. Therefore it it is better that an internal is given with the probability that the parameter falls into it.