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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 70, find the probability of a sample mean being greater than 225 if = 224 and = 3.5. For a sample of n = 70, the probability of a sample mean being greater than 225 if = 224 and = 3.5 is (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean would be considered unusual because it does not lie within the range of a usual event, namely within 2 standard deviations of the mean of the sample means.

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