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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

#19

### 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 \(
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman