The U S Census Bureau announced that the median sales price of new houses sold in 2013 was $ 265,900, and the mean sales price was $ 322,100 (www census gov newhomesales, March 1, 2014) Assume that the standard deviation of the prices is $ 90,000 a If you select samples of n 4, describe the shape of the sampling distribution of X BAR bar b If you select samples of n 100, describe the shape of the sampling distribution of X BAR bar c If you select a random sample of n 100, what is the probability that the sample mean will be less than $ 346,000 d If you select a random sample of n 100, what is the probability that the sample mean will be between 326,000 and 341,000

Question: The U. S. Census Bureau announced that the median sales price of new houses sold in 2013 was $ 265,900, and the mean sales price

The U. S. Census Bureau announced that the median sales price of new houses sold in 2013 was $ 265,900, and the mean sales price was $ 322,100 (www.census.gov/newhomesales, March 1, 2014). Assume that the standard deviation of the prices is $ 90,000.

a. If you select samples of n = 4, describe the shape of the sampling of X-BAR-bar.

b. If you select samples of n = 100, describe the shape of the sampling of X-BAR-bar.

c. If you select a random sample of n = 100, what is the probability that the sample mean will be less than $ 346,000?

d. If you select a random sample of n = 100, what is the probability that the sample mean will be between 326,000 and 341,000?

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