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(See Steps) The average teacher's salary in New Jersey is $52,174. Suppose that the distribution is normal with a standard deviation equal of $7,500. 100

Question: The average teacher's salary in New Jersey is $52,174. Suppose that the distribution is normal with a standard deviation equal of $7,500. 100 teacher's salaries are sampled.

  1. What is the probability that the sample mean is less than $50,000?
  2. What is the probability that the sample mean is greater than $51,000?

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