Teachers’ Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with σ=$5100. Round the final answers to at least 4 decimal places and round...

Teachers’ Salaries in North Dakota
The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with σ=$5100. Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places.

For a sample of 75 teachers, what is the probability that the sample mean is greater than $35,839? Assume that the sample is taken from a large population and the correction factor can be ignored.