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The mean weight of all Goliath grouper caught on the Treasure coast is 438 pounds,...

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The mean weight of all Goliath grouper caught on the Treasure coast is 438 pounds, with a standarddeviation of 49 pounds. Suppose a random sample of 92 Goliath Grouper from the Treasure Coast are aught and weighed.Determine the probability that the average weight of the sample of 92 Goliath Grouper is within 8 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary.P( within 8 pounds of ?)

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