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1. The number of nails in a five-pound box of nails is normally distributed with a mean of 563.3 and a standard deviation of


1. The number of nails in a five-pound box of nails is normally distributed with a mean of 563.3 and a standard deviation of 33. Suppose you select a random sample of 30 boxes. [2.5 marks] a. What is the probability that the average number of nails per box for this sample is between 560 and 580 nails? b. The probability is 0.22 that the sample mean will be more than what value?

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