Fifth grader Scott is studying the heights of American women for a science fair project.

Scott’s teacher told him that the heights of American females are normally distributed with the population standard deviation of $2.4\text{ inches}$, but he cannot remember the value for the mean.

Scott’s older brother suggests that he estimate the unknown mean by calculating a confidence interval using data that Scott has collected for the heights of four women, as follows:

$63 \text{ inches}$

$69\text{ inches}$

$62\text{ inches}$

$66\text{ inches}$

Based on this, Scott’s $99\%$ confidence interval would be:

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