Crime Rate: FBI A random sample of n, = 10 regions in New Englan cave the following violent crime rates (per million population). x: New England Crime Rate 3.5 3.7 4.0 3.9 3.3 4.1 1.8 4.8 nother random sample of n, ave the following violent crime rates (per million population). 12 regions in the Rocky Mountain state %3D x, Rocky Mountain States 3.7 4.3 4.5 5.3 3.3 4.8 3.5 2.4 3.5 5.2 Reference: Crime in the United States, Federal Bureau of Investigation. ssume that the crime rate distribution is approximately normal in both "suor3 Use a calculator to verify that x, 3.51, s, 0.81, x2 , 3.87, and AU 0.94. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than that in New England? Use a = 0.01.

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### Crime Rate: FBI

A random sample of \( n_1 = 10 \) regions in New England gave the following violent crime rates (per million population).

- **New England Crime Rate (\( x_1 \))**: 19, 41, 38, 29, 35, 37, 40, 39, 41, 48

Another random sample of \( n_2 = 12 \) regions in the Rocky Mountain states gave the following violent crime rates (per million population).

- **Rocky Mountain States (\( x_2 \))**: 37, 43, 45, 53, 33, 48, 35, 24, 31, 35, 52

(Reference: Crime in the United States, Federal Bureau of Investigation)

Assume that the crime rate distribution is approximately normal in both regions.

1. Use a calculator to verify that \( \bar{x}_1 = 35.1 \), \( s_1 = 9.81 \), \( \bar{x}_2 = 38.7 \), and \( s_2 = 9.4 \).
2. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than that in New England? Use \( \alpha = 0.01 \).

### Medical: Hay Fever

A random sample of \( n_1 = 16 \) communities in western Kansas gave the following information for people under 25 years of age.

- **Rate of hay fever per 1000 population for people under 25 (\( x_1 \))**: 128, 92, 123, 122, 127, 120, 125, 120, 117, 97, 112, 128, 92, 123, 122, 127

A random sample of \( n_2 = 14 \) regions in western Kansas gave the following information for people over 50 years old.

- **Rate of hay fever per 1000 population for people over 50 (\( x_2 \))**: 95, 114, 115, 115, 99, 116, 95, 110, 97, 119, 101, 86, 96, 88

(Reference: National Center for Health Statistics)

1. Use a calculator to verify that \(
Transcribed Image Text:### Crime Rate: FBI A random sample of \( n_1 = 10 \) regions in New England gave the following violent crime rates (per million population). - **New England Crime Rate (\( x_1 \))**: 19, 41, 38, 29, 35, 37, 40, 39, 41, 48 Another random sample of \( n_2 = 12 \) regions in the Rocky Mountain states gave the following violent crime rates (per million population). - **Rocky Mountain States (\( x_2 \))**: 37, 43, 45, 53, 33, 48, 35, 24, 31, 35, 52 (Reference: Crime in the United States, Federal Bureau of Investigation) Assume that the crime rate distribution is approximately normal in both regions. 1. Use a calculator to verify that \( \bar{x}_1 = 35.1 \), \( s_1 = 9.81 \), \( \bar{x}_2 = 38.7 \), and \( s_2 = 9.4 \). 2. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than that in New England? Use \( \alpha = 0.01 \). ### Medical: Hay Fever A random sample of \( n_1 = 16 \) communities in western Kansas gave the following information for people under 25 years of age. - **Rate of hay fever per 1000 population for people under 25 (\( x_1 \))**: 128, 92, 123, 122, 127, 120, 125, 120, 117, 97, 112, 128, 92, 123, 122, 127 A random sample of \( n_2 = 14 \) regions in western Kansas gave the following information for people over 50 years old. - **Rate of hay fever per 1000 population for people over 50 (\( x_2 \))**: 95, 114, 115, 115, 99, 116, 95, 110, 97, 119, 101, 86, 96, 88 (Reference: National Center for Health Statistics) 1. Use a calculator to verify that \(
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