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A manufacturer knows that their items have a normally distributed length, with a mean of 5.6 inches, and standard deviation of 1.8 inches. If 25

A manufacturer knows that their items have a normally distributed length, with a mean of 5.6 inches, and standard deviation of 1.8 inches.

If 25 items are chosen at random, what is the probability that their mean length is less than 5.1 inches?

Round to 4 decimal places.

Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.

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