Select all of the following statements which you believe to be true. If the 95% confidence interval for the mean of a variable of interest obtained from a sample for values contains a hypothesized value, µ1, of the mean:

1. We are 95% certain that the sample mean lies within the interval

2. We are 95% certain that the true mean in the population equals µ1

3. We are 95% certain that the sample mean equals the population mean.

4. There is a 5% chance that the population mean lies outside this interval.

5. We can reject the null hypothesis that the true population mean equals m1 at the 5% level of significance.