Suppose a random sample of 25 exam scores are obtained from the results of a large class, of say 500 students. The sample statistic is computed as xbar= 65. A 95% confidence interval is reported as 65 ± 4.5, or equivalently the interval ... (60.5, 69.5). Question: Give me a best guess as to what you think this means? Here are 8 representative responses for you to now consider.

1. The students scored between 60.5 and 69.5 on the exam in question.

2. The mean lies between 60.5 and 69.5.

3. We're 95% sure that x-bar falls somewhere between 60.5 and 69.5.

4. 95% of the student scores should fall between 60.5 and 69.5.

5. We're 95% certain that the interval from 60.5 to 69.5 captures the true value of µ.

6. The mean of any random sample of 25 scores has a 95% chance of ranging between 60.5 and 69.5

7. In repeated sampling, we would expect that 95% of the time x-bar falls between 60.5 and 69.5.

8. In repeated sampling, 95% of computed confidence intervals will capture the true unknown value of the population parameter µ