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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

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.
AI-Generated Solution
Unlock instant AI solutions
Tap the button
to generate a solution
Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman