Question

1. A set of data has a mean of 12 and a 95% confidence interval of 10-14. What does this mean?
   1. the standard deviation will be 14-10, or 4
   2. you can be 95% sure that 12 is the population mean
   3. in order for the mean to be significantly different fro some other mean, the scores producing

      the other mean cannot be between 10 and 14

4. you can be quite sure that the population mean falls somewhere between 10 and 14

Answer 1

The 95% confidence interval for the population mean here is given to be: 10 to 14. The interpretation of the confidence interval here is that we are 95% confident that the true population mean lies in the given confidence interval. As 0.95 is a high enough probability that means that we can be very sure that the population mean falls somewhere between 10 and 14. Therefore you can be quite sure that the population mean falls somewhere between 10 and 14 is the required answer here.