Question: The average teacher s salary in Connecticut ranked first among states

The average teacher’s salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500.
a. What is the probability that a randomly selected teacher makes less than $52,000 per year? 0.2389
b. If we sample 100 teachers’ salaries, what is the probability that the sample mean is less than $56,000?

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