If we have established a 99% confidence interval for μ of 40 to 60, what would be the correct interpretation?
A) 99% of sample means would fall between 40 and 60.
B) 99% of population means would fall between 40 and 60.
C) We can be 99% confident that μ would be between 40 and 60.
D) We can be 99% confident that M would be between 40 and 60.

Question

Quizplus · Accepted Answer

A confidence interval is a range of values that is likely to contain the true value of the population parameter with a certain degree of confidence. In this case, we can be 99% confident that the true population mean (μ) falls between 40 and 60. It is important to note that this does not mean that 99% of individual sample means would fall within this range.

If We Have Established a 99% Confidence Interval for μ