A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.5 3.9 4.0 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). x2: Rocky Mountain Crime Rate 3.7 4.1 4.7 5.1 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 (a) Assume that the crime rate distribution is approximately normal in both regions. Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to two decimal places.) x1 = s1 = x2 = s2 = (b) What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Do not use rounded values. Round your answer to three decimal places.) (c) Find a 98% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limit upper limit
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population).
| 3.5 | 3.9 | 4.0 | 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 | 5.1 | 3.3 | 4.8 | 3.5 | 2.4 | 3.1 | 3.5 | 5.2 | 2.8 |
(a) Assume that the crime rate distribution is approximately normal in both regions. Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to two decimal places.)
| x1 | = |
| s1 | = |
| x2 | = |
| s2 | = |
(b) What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Do not use rounded values. Round your answer to three decimal places.)
(c) Find a 98% confidence interval for μ1 − μ2. (Round your answers to two decimal places.)
| lower limit | |
| upper limit |
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