The average teachers' salary in a certain state 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. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.
If we sample 55 teachers' salaries, what is the probability that the sample mean is less than $55,700?
Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(-1.6187, TRUE)" to find the probability.
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