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The average teacher's salary in New Jersey is $52,174. Suppose that the distribution is normal with standard deviation $7500. a What is the probability that

  1. The average teacher's salary in New Jersey is $52,174. Suppose that the distribution is normal with standard deviation $7500.
    1. a What is the probability that a randomly selected teacher makes less than $50,000 per year?

  1. b If we sample 100 teachers' salaries, what is the probability that the sample mean is less than $50,000 per year?

  1. c Why is the probability in part (a) higher than the probability in part (b)?

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