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...

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%).