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Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,600 houses. The subdivision was built in 1983. A sample of 120 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $178,000, with a standard deviation of $8,900, what is the probability that the sample average is greater than $189,000? Round the values of z to 2 decimal places. Round your answer to 4 decimal places.
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