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# ConInthandout - the average price of a house 3 A random...

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POLS 4150 HANDOUT : C ONFIDENCE I NTERVALS . 1. A random survey of 225 of all the State Universities in the United States was conducted in 2005. The survey showed a mean enrolment of 13,700 students per institution, and a standard deviation of 3,000 students. Construct a 95% confidence interval for the total student enrolment in all State Universities. 2. A real estate agency wants to estimate the average selling price of houses in a suburb of Atlanta. It randomly samples 25 recent sales and calculates the average price in the sample to be \$148,000 and the standard deviation to be s = \$62,000. Construct a 95% confidence interval for
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Unformatted text preview: the average price of a house. 3. A random sample of 5 states gave the following areas (in 1,000 square miles): 147, 84, 24, 85, 159. The mean of the sample is 99.8 and the standard deviation is 54.65. Find the 95% confidence interval for the mean area for all 50 states in the United States. 4. A random nationwide sample of 1,500 likely voters was completed the Thursday before the 2008 election. It revealed that Senator Obama lead Senator McCain with the support of 52% of the two-party vote. Construct a 95% confidence interval for the proportion of the actual population that favored then Senator Obama....
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