We appreciate your visit to In 2012 the mean rate of violent crime per 100 000 people in the metropolitan areas of a country was 448 The standard deviation was. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
About 95% of violent crime rates fall within the interval (47, 763), and about 68% fall within (226, 584), according to the Empirical Rule. A violent crime rate of 413 is not unusual as it lies within one standard deviation of the mean rate (405).
Explanation:
Using the Empirical Rule and the given mean rate of violent crime (405) and the standard deviation (179), we can answer the student's questions.
Part A: 95% of the Rates
About 95% of the violence crime rates lie within two standard deviations of the mean. This gives us the following interval:
Lower Limit: 405 - 2(179) = 405 - 358 = 47
Upper Limit: 405 + 2(179) = 405 + 358 = 763
So, approximately 95% of the rates fall within the interval (47, 763).
Part B: 68% of the Rates
About 68% of the violent crime rates lie within one standard deviation of the mean. This gives us the following interval:
Lower Limit: 405 - 179 = 226
Upper Limit: 405 + 179 = 584
So, approximately 68% of the rates fall within the interval (226, 584).
Part C: Crime Rate of 413
A violent crime rate of 413 per 100,000 people would not be considered unusual since it lies within one standard deviation of the mean and well inside the range where we find 68% of the values.
The complete question is:
In 2012,the mean rate of violent crime (per 100.000 people in the metropolitan areas of a country was 405.The standard deviation was 179.Assume that the distribution of violent crime rates is approximately bell-shaped. Complete parts a through d below.
a. Using the Empirical Rule, between what two values would you expect to find about 95% of the rates?
Approximately 95% of the observations fall within the interval (|226584 (Type whole numbers.)
b.Using the Empirical Rule.between what two values would you expect to find about 68% of the rates?
Approximately 68% of the observations fall within the interval (|226584 (Type whole numbers.)
c. If a metropolitan area had a violent crime rate of 413 crimes per 100,000 people, would this be considered this unusual?
Thanks for taking the time to read In 2012 the mean rate of violent crime per 100 000 people in the metropolitan areas of a country was 448 The standard deviation was. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
