6.Suppose a subdivision on the southwest side of Denver, Colorado, contains1,400houses. The subdivision was built in 1983. A sample of100houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $227,000, with a standard deviation of $8,400, what is the probability that the sample average is greater than $229,000?

7.According to Runzheimer International, a typical business traveler spends an average of $281 per day in Chicago. This cost includes hotel, meals, car rental, and incidentals. A survey of50randomly selected business travelers who have been to Chicago on business recently is taken. For the population mean of $281 per day, what is the probability of getting a sample average of more than $272per day if the population standard deviation is $47?