Assignment:
6. True or False. Consider a p% confidence interval (CI) for the population mean constructed from a sample of size n, e.g., if p= 95 it 95% CI and if p= 99 it's a 99% CI).
a. It will always contain the population mean. True or False?
b. It will always contain the sample mean. True or False?
c. There is a p% confidence that the p% CI will contain the population mean. True or False?
d. If one constructed a very large number of p% confidence intervals based on different samples of size nfrom the same population, about p% of the time the CIs will contain the population mean. True or False?
e. If one constructed a very large number of p% confidence intervals based on different samples of size nfrom the same population, about (100-p)% of the time the CIs will NOT contain the population mean. True or False?