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The completion time for male Olympic marathon runners is approximately normally distributed with a mean of 140.59 minutes and a standard deviation of 8.01 minutes. The completion time for female Olympic marathon runners is approximately normally distributed with a mean of 156.14 minutes and a standard deviation of 9.62 minutes. A runner's time was recorded as 157.90 minutes but their gender was not recorded. Given that it is unusual for an observation to fall more than two standard deviations from the mean in an approximately normal distribution, which of the following statements is true? (A) The time of 157.90 minutes would be considered unusual for both male and female Olympic marathon runners. (B) The time of 157.90 minutes would not be considered unusual for either male or female Olympic marathon runners. (C) The time of 157.90 minutes would be considered unusual for male but not for female Olympic marathon runners. (D) The time of 157.90 minutes would be considered unusual for female but not for male Olympic marathon runners. (E) We do not have enough available information to make a determination if the time is unusual.

The completion time for male Olympic marathon runners is approximately normally distributed with a mean of 140.59 minutes and a standard deviation of 8.01 minutes. The completion time for female Olympic marathon runners is approximately normally distributed with a mean of 156.14 minutes and a standard deviation of 9.62 minutes. A runner's time was recorded as 157.90 minutes but their gender was not recorded. Given that it is unusual for an observation to fall more than two standard deviations from the mean in an approximately normal distribution, which of the following statements is true? (A) The time of 157.90 minutes would be considered unusual for both male and female Olympic marathon runners. (B) The time of 157.90 minutes would not be considered unusual for either male or female Olympic marathon runners. (C) The time of 157.90 minutes would be considered unusual for male but not for female Olympic marathon runners. (D) The time of 157.90 minutes would be considered unusual for female but not for male Olympic marathon runners. (E) We do not have enough available information to make a determination if the time is unusual.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The completion time for male Olympic marathon runners is approximately normally distributed with a mean of 140.59 minutes and a standard deviation of 8.01 minutes. The completion time for female Olympic marathon runners is approximately normally distributed with a mean of 156.14 minutes and a standard deviation of 9.62 minutes. A runner's time was recorded as 157.90 minutes but their gender was not recorded. Given that it is unusual for an observation to fall more than two standard deviations from the mean in an approximately normal distribution, which of the following statements is true? (A) The time of 157.90 minutes would be considered unusual for both male and female Olympic marathon runners. (B) The time of 157.90 minutes would not be considered unusual for either male or female Olympic marathon runners. (C) The time of 157.90 minutes would be considered unusual for male but not for female Olympic marathon runners. (D) The time of 157.90 minutes would be considered unusual for female but not for male Olympic marathon runners. (E) We do not have enough available information to make a determination if the time is unusual.
Transcribed Image Text:The completion time for male Olympic marathon runners is approximately normally distributed with a mean of 140.59 minutes and a standard deviation of 8.01 minutes. The completion time for female Olympic marathon runners is approximately normally distributed with a mean of 156.14 minutes and a standard deviation of 9.62 minutes. A runner's time was recorded as 157.90 minutes but their gender was not recorded. Given that it is unusual for an observation to fall more than two standard deviations from the mean in an approximately normal distribution, which of the following statements is true? (A) The time of 157.90 minutes would be considered unusual for both male and female Olympic marathon runners. (B) The time of 157.90 minutes would not be considered unusual for either male or female Olympic marathon runners. (C) The time of 157.90 minutes would be considered unusual for male but not for female Olympic marathon runners. (D) The time of 157.90 minutes would be considered unusual for female but not for male Olympic marathon runners. (E) We do not have enough available information to make a determination if the time is unusual.
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