19.| Crime Rate: FBI A random sample of n, gave the following violent crime rates (per x,: New England Crime Rate 3.5 3.7 4.0 3.9 3.3 Another random sample of n, = 12 regions gave the following violent crime rates (per x,: Rocky Mountain States 3.7 4.3 4.5 5.3 3.3 4.8 3 (Reference: Crime in the United States, Fec Assume that the crime rate distribution is a regions. i. Use a calculator to verify that I S2 = 0.94. 11. Do the data indicate that the violent cri region is higher than that in New Engla 20. | Medical: Hay Feyer A random sample of
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#19
![**Crime Rate: FBI**
1. A random sample of \( n_1 = 10 \) regions in New England gave the following violent crime rates (per million population):
\[
\bar{x}_1: 3.1, 2.9, 4.8, 1.8, 4.1, 2.8, 3.1, 2.9, 4.8, 1.8
\]
i. Use a calculator to verify that \( \bar{x}_1 \approx 3.51 \), \( s_1 \approx 0.94 \).
ii. Does this data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use \( \alpha = 0.01 \).
2. Another random sample of \( n_2 = 12 \) regions in the Rocky Mountain states gave the following violent crime rates (per million population):
\[
\bar{x}_2: 3.5, 3.7, 4.0, 3.9, 3.3, 3.3, 4.3, 4.5, 3.3, 4.8, 3.5, 2.8
\]
**Medical: Hay Fever**
1. A random sample of \( n_1 = 16 \) communities in western Kansas gave the following information for people under 25 years of age:
\[
x_1: 128, 92, 123, 112, 97, 122, 93, 112, 127, 93, 88, 128, 99, 123, 112, 97
\]
\text{Rate of hay fever per 1000 population for people under 25}
2. A random sample of \( n_2 = 14 \) regions in western Kansas gave the following information for people over 50 years old:
\[
x_2: 112, 89, 96, 90, 125, 121, 112, 110, 89, 79, 110, 95, 88, 85
\]
\text{Rate of hay fever per 1000 population for people over 50}
**Reference:** Crime in the United](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb59336cf-ec1d-4df0-a294-99fbbefdc623%2F5c967125-662d-44fa-9cb7-7ba0aad9b7f2%2Fi6ks0me_processed.jpeg&w=3840&q=75)
Step-by-step procedure to obtain the mean and standard deviation of New England crime rates using Ti83 calculator.
- Press STAT.
- Select Edit.
- Enter the values of New England crime rates in L1.
- Press STAT and Choose CALC.
- Select 1-Var Stats
- Press Enter.
Output obtained by Ti 83 calculator is given below:
From the output, it is verified that
Step-by-step procedure to obtain the mean and standard deviation of Rocky Mountain States using Ti83 calculator.
- Press STAT.
- Select Edit.
- Enter the values of Rocky Mountain States in L1.
- Press STAT and Choose CALC.
- Select 1-Var Stats
- Press Enter.
Output obtained by Ti 83 calculator is given below:
From the output, it is verified that
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