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# Computing probability for normally distributed data

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The U.S. Census Bureau announced that the median sales price of new houses sold in April 2008 was \$221,600, and the mean sales price was \$274,300 (www.census.gov/newhomesales, July 20, 2009). Assume that the standard deviation of the prices is \$90,000. _
a If you select sample of n = 2, describe the shape of the sampling distribution of X.
b. If you _ select samples of n = 100, describe the shape of the sampling distribution of X
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?

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#### Solution Summary

The solution gives detailed steps on calculating probability for normally distributed data using excel software. All the formula and calcuations are shown and explained.

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