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

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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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