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

The U.S. Census Bureau announced that the median
sales price of new houses sold in April 2009 was $22 J,6fH).
and the mean sales price was S274.300 (www.census.gO!
newhomesales. July 20. 20(9). Assume that the standal d
deviation of the prices is $90.000.
a. If you select samples of 11 == 2, describe the shape of the
sampling distribution ofX.
b. If you select samples of n = 100, describe the shape ()f
the sampling distribution of X.
c. lfyou select a random sample of 11 = 100, what is the probability
that the sample mean will be less than $300,000'!
d. I f you select a random sample of n = 100, what is the
probability that the sample mean will be between $275,000
and $290,000':

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