A Statistics Professor at an All-Womenʹs College Determined That the Standard

question 136

Essay

A statistics professor at an all-womenʹs college determined that the standard deviation of womenʹs heights is
2.5 inches. The professor then randomly selected 41 male students from a nearby all-male college and found
the standard deviation to be 2.9 inches. Test the professorʹs claim that the standard deviation of male heights is
greater than 2.5 inches. Use $\alpha$ = 0.01.

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Definitions:

Atlanto-occipital

Relating to the joint between the atlas (first cervical vertebra) and the occipital bone of the skull, allowing for nodding and head rotation movements.

Hyperextension

An excessive straightening movement of a limb or body part beyond its normal range of motion, often resulting in injury.

Extension

A movement that increases the angle between body parts, typically referring to a joint or limb.

Circumduction

A circular movement of a body part, such as a ball-and-socket joint or the eye, enabling it to move in a circular manner in any direction.