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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The number of nails in a five-pound box of nails is normally distributed with a mean of 563.3 and a standard deviation of 33.Suppose you select a random sample of 30 boxes.
-What is the probability that the average number of nails per box for this sample is between 560 and 580 nails?


Definitions:

Vision

The faculty or state of being able to see; also, a concept or plan regarding the future.

Middle Adulthood

A stage of life, typically considered to be from ages 40 to 65, marked by stability, maturity, and established social and economic roles.

Reproductive Ability

The capacity of an individual or organism to produce offspring.

Men

Adult human males, often referred to in contexts involving gender differences, social roles, or physiological characteristics.

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