Question

Which statement is the correct interpretation of the confidence interval in this illustration? The probability the true mean is between 76.08 and 83.92 is 0.95 or 95%. We are 95% confident that the true mean is between 76.08 and 83.92.

Answer 1

We are 95% confident that the true mean lies between 76.08 and 83.92.

Explanation:

The confidence interval approach is used to calculate an interval in which the true population mean exists. The confidence level 1-α associated with confidence interval depicts that how confident we are that the population mean lies in the estimated interval. In the problem that confidence level is 95%, so we are 95% confident that the true mean lies between 76.08 and 83.92.