x1: New England Crime Rate
| 3.5 | 3.9 | 4.2 | 4.1 | 3.3 | 4.1 | 1.8 | 4.8 | 2.9 | 3.1 |
x2: Rocky Mountain Crime Rate
| 3.7 | 4.1 | 4.7 | 5.5 | 3.3 | 4.8 | 3.5 | 2.4 | 3.1 | 3.5 | 5.2 | 2.8 |
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population).
| 3.3 | 3.7 | 4.2 | 3.9 | 3.3 | 4.1 | 1.8 | 4.8 | 2.9 | 3.1 |
Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population).
| 3.9 | 4.1 | 4.5 | 5.5 | 3.3 | 4.8 | 3.5 | 2.4 | 3.1 | 3.5 | 5.2 | 2.8 |
Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)
| test statistic | |
| critical value |
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population).
| 3.3 | 3.7 | 4.2 | 3.9 | 3.3 | 4.1 | 1.8 | 4.8 | 2.9 | 3.1 |
Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population).
| 3.5 | 4.1 | 4.7 | 5.5 | 3.3 | 4.8 | 3.5 | 2.4 | 3.1 | 3.5 | 5.2 | 2.8 |
Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)
| test statistic | |
| critical value |
Find (or estimate) the P-value.
Conclusion
Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population).
| 3.3 | 3.9 | 4.2 | 4.1 | 3.3 | 4.1 | 1.8 | 4.8 | 2.9 | 3.1 |
Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population).
| 3.7 | 4.1 | 4.7 | 5.5 | 3.3 | 4.8 | 3.5 | 2.4 | 3.1 | 3.5 | 5.2 | 2.8 |
Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)
| test statistic | |
| critical value |
Find (or estimate) the P-value.
Conclusion
Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population).
| 3.3 | 3.9 | 4.2 | 4.1 | 3.3 | 4.1 | 1.8 | 4.8 | 2.9 | 3.1 |
Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population).
| 3.7 | 4.1 | 4.7 | 5.5 | 3.3 | 4.8 | 3.5 | 2.4 | 3.1 | 3.5 | 5.2 | 2.8 |
Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)
| test statistic | |
| critical value |
Find (or estimate) the P-value.
Conclusion
Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population).
| 3.3 | 3.7 | 4.2 | 3.9 | 3.3 | 4.1 | 1.8 | 4.8 | 2.9 | 3.1 |
Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population).
| 3.9 | 4.1 | 4.5 | 5.5 | 3.3 | 4.8 | 3.5 | 2.4 | 3.1 | 3.5 | 5.2 | 2.8 |
Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)
| test statistic | |
| critical value |
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