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**Teachers' Salaries in Connecticut:** 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. (*Assume that the sample is taken from a large population and the correction factor can be ignored.*) If we sample 55 teachers' salaries, what is the probability that the sample mean is less than $55,700?

__Round your answer to four decimal places and be sure to add a zero before the decimal if needed.__

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Answered by kunalpant on coursehero.com

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