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 of 4 inches and a standard deviation of 0.09 inch. The quality control 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? Round your answer to 4 decimal places. Probability = the tolerance is +/-5% 8th-ed Chapter 07, Advanced Exercises, Problem 103 Let u be the mean annual salary of Major League Baseball players for 2002. Assume that the standard deviation of the salaries of these players is $105,000. what is the probability that the 2002 mean salary of a random sample of 60 baseball players was within $15.000 of the population mean, u. Assume that <0.05. Round your answer to two decimal places. the tolerance is +/-5%

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