Assume that the average time to run a marathon in the population is 278 minutes with a standard deviation of 63 minutes. Use this information to answer the questions.In the theoretical normal population, what percent of raw running times are greater than or equal to 260 AND less than or equal to 300? In the theoretical normal population, what raw running time would 95% of the times be shorter than? In the theoretical normal population, what raw running time would 20% of the times be shorter than? In the population, what raw running time is 2.5 standard deviations below the mean? What is the percentile of this time?

Answered: es. Use this information to answer the…

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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Question

Assume that the average time to run a marathon in the population is 278 minutes with a standard deviation of 63 minutes. Use this information to answer the questions.

In the theoretical normal population, what percent of raw running times are greater than or equal to 260 AND less than or equal to 300?
In the theoretical normal population, what raw running time would 95% of the times be shorter than?
In the theoretical normal population, what raw running time would 20% of the times be shorter than?
In the population, what raw running time is 2.5 standard deviations below the mean? What is the percentile of this time?

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“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.”.

The average time is 278 with standard deviation 63.

$μ = 278 σ = 63$