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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