4. Researchers working for a sports drink company would like to know i blend if its popular sports drink can help improve marathon runners' fina time. Marathon times, Y, are known to follow a Normal distribution. Sup runners using the old blend sports drink have a mean finishing time of 30 (= 300 minutes). A random sample of 20 runners was selected to use blend of sports drink in a marathon, finishing with an average time of 27 and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be the new blend lowers finishing times? Or is it possible that random chan explain the discrepancy? Carry out a hypothesis test of the true mean u step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: H = 300 min %3D O ii: Ho: u = 270 min O ii. Ho: µ < 300 min O iv: Ho: µ < 270 min
4. Researchers working for a sports drink company would like to know i blend if its popular sports drink can help improve marathon runners' fina time. Marathon times, Y, are known to follow a Normal distribution. Sup runners using the old blend sports drink have a mean finishing time of 30 (= 300 minutes). A random sample of 20 runners was selected to use blend of sports drink in a marathon, finishing with an average time of 27 and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be the new blend lowers finishing times? Or is it possible that random chan explain the discrepancy? Carry out a hypothesis test of the true mean u step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: H = 300 min %3D O ii: Ho: u = 270 min O ii. Ho: µ < 300 min O iv: Ho: µ < 270 min
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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
Transcribed Image Text:4. Researchers working for a sports drink company would like to know if a new
blend if its popular sports drink can help improve marathon runners' final running
time. Marathon times, Y, are known to follow a Normal distribution. Suppose that
runners using the old blend sports drink have a mean finishing time of 300 minutes
(H = 300 minutes). A random sample of 20 runners was selected to use the new
blend of sports drink in a marathon, finishing with an average time of 270 minutes
and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that
the new blend lowers finishing times? Or is it possible that random chance alone can
explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4-
step procedure. Set your alpha-level to 0.05.
a. Which is the correct null hypothesis?
O i. Ho: µ = 300 min
O ii: Ho: µ = 270 min
%3D
O ii. Ho: µ < 300 min
iv: Ho: µ < 270 min
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