Please show the full solution and proper notation and terminology. A small town contains 1,500 houses. A sample of 100 houses is randomly selected and appraised. If the mean appraised value of a house in this town for all houses is $177,000 with standard deviation of $8,500, what is the probability that the sample average is greater than 185,000? thanks.

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Please show the full solution and proper notation and terminology.

  1. A small town contains 1,500 houses. A sample of 100 houses is randomly selected and appraised. If the mean appraised value of a house in this town for all houses is $177,000 with standard deviation of $8,500, what is the probability that the sample average is greater than 185,000?

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