Chapter 07, Section 7.4, Problem 041 A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean o inspector takes a sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 3.95 inches or greater than 4.05 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment? 4 inches and a standard deviation of 0.09 inch. The quality control Round your answer to 4 decimal places. Probability = the tolerance is +/-5%

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