A manufacturer knows that their items have a normally distributed length, with a mean of 17.7 inches, and standard deviation of 5.2 inches. If 22 items are chosen at random, what is the probability that their mean length is less than 14.7 inches?

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ISBN:9780470458365
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A manufacturer knows that their items have a normally distributed length, with a mean of 17.7 inches, and standard deviation of 5.2 inches.

If 22 items are chosen at random, what is the probability that their mean length is less than 14.7 inches?
 
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