In the northern part of a large city. the distribution of home values is skewed to the right with a mean of $525,000 and a standard deviation of $135,000. In the southern part oft the city, the distribution of the home values is skewed to the right with a mean of $490,000 and standard deviation of 110,000. Independent random samples of40 houses in each part of the city are selected. Let Xn represent the
sample mean value of homes in the northem part and let Xs represent the sample mean value of homes in the southern part.

Find the probability of getting a mean for the southern part of the city houses that is $10,000 more than the mean for the northern part of the city houses. Show work.

Find the probability of getting a difference in sample means that's greater than $50,000