In a Sample of 10 Randomly Selected Women, It Was $\sigma$

question 70

Essay

In a sample of 10 randomly selected women, it was found that their mean height was 63.4 inches. From
previous studies, it is assumed that the standard deviation, $\sigma$ is 2.4 inches and that the population of height
measurements is normally distributed.
a)Construct the 99% confidence interval for the population mean height of women.
b)If the sample size was doubled to 20 women, what will be the effect on the confidence interval?

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Definitions:

Depth Cue

A visual or auditory signal that provides information about the distance or three-dimensional characteristics of an object or scene.

Visual Cliff

An experimental apparatus used to study depth perception and fear of heights in infants and young animals.

Depth Perception

The ability to perceive the world in three dimensions (3D) and to judge the distance of objects.

Innate

Inborn or natural characteristics or abilities not acquired or learned.