It Is Known That the Variance of a Population Equals

question 47

Essay

It is known that the variance of a population equals 1296. A random sample of 144 observations is going to be taken from the population.
a.With a 0.95 probability, what statement can be made about the size of the margin of error?
b.With a 0.95 probability, how large of a sample would have to be taken to provide a margin of error of 6 or less?

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Definitions:

Vagus Nerve

The tenth cranial nerve that innervates many organs, including the heart, lungs, and digestive tract, playing a critical role in the parasympathetic nervous system.

Somatic Motor Neuron

A type of neuron that sends impulses from the central nervous system to skeletal muscle cells, causing them to contract.

Autonomic Ganglion

A cluster of nerve cells that are part of the autonomic nervous system, which controls involuntary bodily functions.

Effector Organ

Any organ or tissue that responds to nerve impulses by performing a specific function, such as a muscle contracting or a gland secreting hormones.