Teachers' Salaries in North DakotaThe average teacher's salary in North Dakota is$35,441.Assume a normal distribution with =$5100.Round the final answers to at least4

decimal places and round intermediatez-value calculations to2decimal places.

P( X > 37,000) =

For a sample of75 teachers, what is the probability that the sample mean is greater than$36,581?Assume that the sample is taken from a large population and the correction factor can be ignored.

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P(X > 36,581) =