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=65, find the probability of a sample mean being greater than 227 if =226 and =5.6.

For a sample of n=65, the probability of a sample mean being greater than 227 if =226 and =5.6 is

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(Round to four decimal places asneeded.)