The U.S. Census Bureau announced that the median sales price of new houses sold in 2009 was

Question:

The U.S. Census Bureau announced that the median sales price of new houses sold in 2009 was $215,600, and the mean sales price was $270,100 (www.census.gov/ newhomesales, March 30, 2010). Assume that the standard deviation of the prices is $90,000.
a. If you select samples of n = 2, describe the shape of the sampling of .
b. If you select samples of n = 100, describe the shape of the sampling of .
c. If you select a random sample of n = 100, what is the probability that the sample mean will be less than $300,000?
d. If you select a random sample of n = 100, what is the probability that the sample mean will be between $275,000 and $290,000? Distribution
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