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A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of...

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Basic Math

A machine at Katz Steel Corporation makes 4-inch-long nails. Theprobability distribution of the lengths of these nails isapproximately normal with a mean of 4 inches and a standarddeviation of 0.10 inch. The quality control inspector takes asample of 16 nails once a week and calculates the mean length ofthese nails. If the mean of this sample is either less than 3.96inches or greater than 4.04 inches, the inspector concludes thatthe machine needs an adjustment. What is the probability that basedon a sample of 16 nails, the inspector will conclude that themachine needs an adjustment?

Round your answer to 4 decimal places.

Answer & Explanation Solved by verified expert
4.4 Ratings (689 Votes)
SolutionGiven thatmean 4standard deviation 010n    See Answer
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