True or False Consider a p confidence interval CI for the po

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\'s a 95% CI and if p=99 it’s a 99% CI).

1) It will always contain the population mean.

2) It will always contain the sample mean.

3) There is a p% probability that the p% CI contains the population mean.

4) There is a p% confidence that the p% CI will contain the population mean.

5) There is a p% probability that the p% CI will contain the sample mean.

6) If one constructed a very large number of p% confidence intervals based on different samples of size N from the same population, about p% of the time the CIs will contain the population mean.

7)If one constructed a very large number of p% confidence intervals based on different samples of size N from the same population, about (100-p)% of the time the CIs will NOT contain the population mean.

Solution

1) False
2) True
3) False
4) TRUE,There is a p% confidence that the p% CI will contain the population mean
5) FALSE
6) TRUE
7) TRUE