Suppose a 95% confidence interval for the mean height of a 12-year-old male in Canada is 137 to 165 cm. It can be said that 95% of 12-year-old males in Canada have height greater than or equal to 137 cm and less than or equal to 165 cm.

Question

Quizplus · Accepted Answer

The statement is incorrect. A 95% confidence interval means that there is a 95% chance that the true population mean falls within the interval, not that 95% of the individual values fall within the interval. It is possible that some 12-year-old males in Canada have heights outside of this interval, but the interval provides a range of plausible values for the population mean height.

Suppose a 95% Confidence Interval for the Mean Height of a 12-Year-Old