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The Heights of Men in the USA Are Normally Distributed

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The heights of men in the USA are normally distributed with a mean of 68 inches and a standard of 4 inches.A random sample of five men is selected.What is the probability that the sample mean is greater than 70 inches?


Definitions:

Apical Dominance

The phenomenon where the main, central stem of the plant grows more vigorously than the other side stems due to the concentration of growth hormones at the tip.

Ethylene

A hydrocarbon gas (C2H4) that acts as a plant hormone, influencing growth, development, and responses to environmental stress.

Stimulate

To encourage or cause an increase in activity or a process, often leading to a desired response or function.

Inhibit

To inhibit is to prevent or decrease the rate of a process or reaction, often used in the context of biological mechanisms or chemical reactions.

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