The Standard Deviation of the Population of Men's Collar Sizes

question 42

Short Answer

The standard deviation of the population of men's collar sizes is 1.02 inches. A random sample of 12 men was selected and yielded a mean collar size of 15.50 inches.
a. Calculate the standard error of the mean.
b. Use the z test to establish whether this sample could represent the population of men's collar sizes which is known to have a mean of 15 inches.

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Definitions:

Suprachiasmatic Nucleus

A small region in the brain's hypothalamus responsible for controlling circadian rhythms.

Biological Clock

An innate mechanism that controls the physiological activities of an organism, such as sleep cycles, puberty, and aging.

Hypothalamus

A small but crucial part of the brain located below the thalamus, responsible for regulating many bodily functions including hunger, thirst, sleep, and emotions.

SAD

Seasonal Affective Disorder, a type of depression that occurs at a certain time of the year, usually in winter.