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Hypothesis Testing

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Please see the attached for the two homework problems. Data is attached as well for each problem.

62. Refer to the Real Estate data, which reports information on the homes sold in Denver, Colorado last year.

a. A recent article in the Denver Post indicated that the mean selling price of the homes in the area is more than $220,000. Can we conclude that the mean selling price in the Denver area is more than $220,000? Use the .01 significance level. What is the p-value?

b. The same article reported the mean size was more than 2,100 square feet. Can we conclude that the mean size of homes sold in the Denver area is more than 2,100 square feet? Use the .01 significance level. What is the p-value?

c. Determine the proportion of homes that have an attached garage. At the .05 significance level can we conclude that more than 60 percent of the homes sold in the Denver area had an attached garage? What is the p-value?

d. Determine the proportion of homes that have a pool. At the .05 significance level, can we conclude that less than 40 percent of the homes sold in the Denver area had a pool? What is the p-value?

52. Refer to the Baseball 2002 data, which reports information on the 30 Major League Baseball teams for the 2002 season.

a. At the .05 significance level, can we conclude that there is a difference in the mean salary of teams in the American League versus teams in the National League?

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Since you included all the data in an Excel file, I mostly showed you how to do the tests in Excel. You should be able to follow along by highlighting the cells and seeing what calculations were made.

All the calculations and answers are in the Excel file on the pages with the data.

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a. A recent article in the Denver Post indicated that the mean selling price of the homes
in the area is more than $220,000. Can we conclude that the mean selling price in the
Denver area is more than $220,000? Use the .01 significance level. What is the p-value?

Here, you use a one-sided, one-sample t-test (we're testing that the mean is greater than $220,000, not just not equal to it and we're comparing the sample mean of one sample to a predetermined number).

I don't think you can do a one-sample t-test in Excel, so we have to calculate the t value ourselves.

The mu is the number we're comparing it to, and x-bar is the sample mean. Sx is the sample standard deviation divided by the square root of the number of cases.

sample ...

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