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In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a certain country was 322. The standard deviation was 112. Assume that the distribution of violent crime rates is unimodal and symmetric. 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 (98, 546). (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 (210, 434). (Type whole numbers.) c. If a northeastern region had a violent crime rate of 245 crimes per 100,000 people, would this be considered unusual? Explain. A. Yes, 245 would be considered unusual because it is more than two standard deviations from the mean. B. Yes, 245 would be considered unusual because it falls within one standard deviation of the mean. C. No, 245 would not be considered unusual because it is more than two standard deviations from the mean. D. No, 245 would not be considered unusual because it falls within one standard deviation of the mean.

In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a certain country was 322. The standard deviation was 112. Assume that the distribution of violent crime rates is unimodal and symmetric. 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 (98, 546). (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 (210, 434). (Type whole numbers.) c. If a northeastern region had a violent crime rate of 245 crimes per 100,000 people, would this be considered unusual? Explain. A. Yes, 245 would be considered unusual because it is more than two standard deviations from the mean. B. Yes, 245 would be considered unusual because it falls within one standard deviation of the mean. C. No, 245 would not be considered unusual because it is more than two standard deviations from the mean. D. No, 245 would not be considered unusual because it falls within one standard deviation of the mean.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I am completely stuck. Need help. I have attached the problem. Please view attachment before answering. I need help with part C. thank you in advance!

In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a certain country was 322. The standard deviation was 112. Assume that the distribution of violent crime rates is unimodal and symmetric. 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 (98, 546). (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 (210,434). (Type whole numbers.) c. If a northeastern region had a violent crime rate of 245 crimes per 100,000 people, would this be considered unusual? Explain. OA. Yes, 245 would be considered unusual because it is more than two standard deviations from the mean. B. Yes, 245 would be considered unusual because it falls within one standard deviation of the mean. C. No, 245 would not be considered unusual because it is more than two standard deviations from the mean. D. No, 245 would not be considered unusual because it falls within one standard deviation of the mean.
Transcribed Image Text:In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a certain country was 322. The standard deviation was 112. Assume that the distribution of violent crime rates is unimodal and symmetric. 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 (98, 546). (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 (210,434). (Type whole numbers.) c. If a northeastern region had a violent crime rate of 245 crimes per 100,000 people, would this be considered unusual? Explain. OA. Yes, 245 would be considered unusual because it is more than two standard deviations from the mean. B. Yes, 245 would be considered unusual because it falls within one standard deviation of the mean. C. No, 245 would not be considered unusual because it is more than two standard deviations from the mean. D. No, 245 would not be considered unusual because it falls within one standard deviation of the mean.
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