Answered: Long races, like a marathon, have…

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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Use the prompt and answer question 1

Long races, like a marathon, have hydration stations about 2-3 miles apart. When it comes to getting ready for the big race, runners must decide whether the water provided by the hydration stations is enough to get them through the race or whether they should carry their own supply of water. Some runners believe carrying additional weight (like a water bottle) will slow them down and therefore they decide to rely on the hydration stations along the race.

To put this theory to the test, a random sample of 466 marathon runners is selected and various variables are recorded including the runner’s completion time in minutes and whether or not the runner carried water during the race.

A 10% significance level is to be used.

Here's a definition of the parameters:

µ₁: the population mean marathon completion time in minutes when the runner is not carrying their own water bottle
µ₂ : the population mean marathon completion time in minutes when the runner is carrying their own water bottle.

Recall the Steps for Testing Hypotheses:
Question 1: State the hypotheses (the significance level has been selected to be 10%).

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