a. The following data represent crime rates per 1000 population for a random sample of 46 Denver neighborhoods.† 63.2 36.3 26.2 53.2 65.3 32.0 65.0 66.3 68.9 35.2 25.1 32.5 54.0 42.4 77.5 123.2 66.3 92.7 56.9 77.1 27.5 69.2 73.8 71.5 58.5 67.2 78.6 33.2 74.9 45.1 132.1 104.7 63.2 59.6 75.7 39.2 69.9 87.5 56.0 154.2 85.5 77.5 84.7 24.2 37.5 41.1 Let us say the preceding data are representative of the population crime rates in Denver neighborhoods. Compute an 80% confidence interval for ?, the population mean crime rate for all Denver neighborhoods. (Round your answers to one decimal place.) lower limit ____ crimes per 1000 people upper limit _____ crimes per 1000 people Compute a 95% confidence interval for ?, the population mean crime rate for all Denver neighborhoods. (Round your answers to one decimal place.) lower limit _____crimes per 1000 people upper limit ______ crimes per 1000 people
a. The following data represent crime rates per 1000 population for a random sample of 46 Denver neighborhoods.†
| 63.2 | 36.3 | 26.2 | 53.2 | 65.3 | 32.0 | 65.0 |
| 66.3 | 68.9 | 35.2 | 25.1 | 32.5 | 54.0 | 42.4 |
| 77.5 | 123.2 | 66.3 | 92.7 | 56.9 | 77.1 | 27.5 |
| 69.2 | 73.8 | 71.5 | 58.5 | 67.2 | 78.6 | 33.2 |
| 74.9 | 45.1 | 132.1 | 104.7 | 63.2 | 59.6 | 75.7 |
| 39.2 | 69.9 | 87.5 | 56.0 | 154.2 | 85.5 | 77.5 |
| 84.7 | 24.2 | 37.5 | 41.1 |
Let us say the preceding data are representative of the population crime rates in Denver neighborhoods. Compute an 80% confidence interval for ?, the population mean crime rate for all Denver neighborhoods. (Round your answers to one decimal place.)
| lower limit | ____ crimes per 1000 people |
| upper limit | _____ crimes per 1000 people |
Compute a 95% confidence interval for ?, the population mean crime rate for all Denver neighborhoods. (Round your answers to one decimal place.)
| lower limit | _____crimes per 1000 people |
| upper limit | ______ crimes per 1000 people |
b. The price of a share of stock divided by the company's estimated future earnings per share is called the P/E ratio. High P/E ratios usually indicate "growth" stocks, or maybe stocks that are simply overpriced. Low P/E ratios indicate "value" stocks or bargain stocks. A random sample of 51 of the largest companies in the United States gave the following P/E ratios†.
| lower limit | |
| upper limit |
Find a 99% confidence interval for the P/E population mean ? of all large U.S. companies. (Round your answers to one decimal place.)
| lower limit | |
| upper limit |
c. The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.
| 1.6 | 2.4 | 1.2 | 6.6 | 2.3 | 0.0 | 1.8 | 2.5 | 6.5 | 1.8 |
| 2.7 | 2.0 | 1.9 | 1.3 | 2.7 | 1.7 | 1.3 | 2.1 | 2.8 | 1.4 |
| 3.8 | 2.1 | 3.4 | 1.3 | 1.5 | 2.9 | 2.6 | 0.0 | 4.1 | 2.9 |
| 1.9 | 2.4 | 0.0 | 1.8 | 3.1 | 3.8 | 3.2 | 1.6 | 4.2 | 0.0 |
| 1.2 | 1.8 | 2.4 |
Compute a 90% confidence interval for the population mean ? of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (Round your answers to two decimal places.)
| lower limit | ____ % |
| upper limit | _____ % |
Compute a 99% confidence interval for the population mean ? of home run percentages for all professional baseball players. (Round your answers to two decimal places.)
| lower limit | ____% |
| upper limit | ____ % |
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