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Heights of American Women

APSTAT-IFMAEV

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 $2.4$ inches, but he can’t 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:

A

$65 \pm 1.55$.

B

$65 \pm 2.35$.

C

$65 \pm 2.79$.

D

$65 \pm 3.1$.

E

$65 \pm 4.07$.