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Z Score

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Assume that men's weights are normally distributed with a mean of 172 lbs. and a standard deviation of 29 lbs.

I understand that if one man is selected the probability his weight is less than 182 lbs is .6331

However I don't understand if 25 men are randomly selected what is the probability that they have a mean weight less than 182 lbs.
I know the answer is .9573 but I do not understand how to get it.

Please explain.

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Solution Summary

The expert understands the z score using the Central Limit Theorem.

Solution Preview

To find the answer, we're going to use z-scores again. Here, instead of having a raw score that we're comparing to a population mean, we have a sample mean (182) for a sample of 25 men that we're comparing to a ...

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