# Question: The average teacher s salary in North Dakota is 37 764 Assume

The average teacher’s salary in North Dakota is $37,764. Assume a normal distribution with σ = $5100.

a. What is the probability that a randomly selected teacher’s salary is greater than $45,000?

b. For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000?

a. What is the probability that a randomly selected teacher’s salary is greater than $45,000?

b. For a sample of 75 teachers, what is the probability that the sample mean is greater than $38,000?

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