[Step-by-Step] Teachers’ Salaries. The average teacher’s salary in North Dakota is $29, 863. Assume a normal distribution with σ =$5100. What is the


Question: Teachers’ Salaries. The average teacher’s salary in North Dakota is $29, 863. Assume a normal distribution with \(\sigma \) =$5100.

  1. What is the probability that a randomly selected teacher’s salary is greater than $40,000?
  2. What is the probability that the mean for a sample of 80 teachers’ salaries is greater than $30 000?

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