Please, would you help me to understand the Confidence Interval with this exercise please
True or False with explanation
Consider a 95% confidence interval (CI) for the population mean from a sample of size n,.
a. It will always contain the population mean.
b. It will always contain the sample mean.
c. There is a 95% confidence that the 95% CI will contain the population mean.
d. If one constructed a very large number of 95% confidence intervals based on different samples of size n from the same population, about 95% of the time the CIs will contain the population mean.
e. If one constructed a very large number of 95% confidence intervals based on different samples of size n from the same population, about 5% of the time the CIs will NOT contain the population mean.,