Final answer:
The correct statement for a 95% confidence interval from 0.6 to 0.8 is that we are 95% confident that the population mean is between .6 and .8, meaning 95% of such constructed intervals will contain the true population mean.
The correct answer is 3).
Step-by-step explanation:
Out of the statements provided about a 95% confidence interval for a mean that runs from 0.6 to 0.8, the correct one is: "We are 95% confident that the population mean is between .6 and .8." This statement is correct because a confidence interval provides a range of values that you can be confident contains the population mean a certain percentage of the time. In this case, if we were to repeat our sampling process many times, approximately 95% of the confidence intervals calculated from those samples would contain the true population mean.
It's important to note that the confidence interval does not say the population mean falls within the interval a certain percentage of the time nor does it pertain to where the sample mean falls; it is about where the population mean could be with a certain level of confidence.