4. Researchers working for a sports drink company would like to know if a new blendif its popular sports drink can help improve marathon runners' final running time.Marathon times, Y, are known to follow a Normal distribution. Suppose that runnersusing the old blend sports drink have a mean finishing time of 300 minutes (u = 300minutes). A random sample of 20 runners was selected to use the new blend ofsports drink in a marathon, finishing with an average time of 270 minutes and astandard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that thenew blend lowers finishing times? Or is it possible that random chance alone canexplain the discrepancy? Carry out a hypothesis test of the true mean u using the 4-step procedure. Set your alpha-level to 0.05.d. What is the critical value associated with an alpha-level of 0.05?O i. -1.96O ii. -1.729iii. -1.645iv. -1.333

now will use T-DISTRIBUTION table to calculate following t-values corresponding given p-value and…

Answered: 4. Researchers working for a sports…

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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Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy individuals are Normally distributed with a mean of 3.2 mg/dl. Some areas of the United States have naturally elevated arsenic levels in the ground and water supplies. Researchers took a sample 20 water samples from a particular area and measured the arsenic levels in each of the 20 water samples. They want to determine if there is sufficient evidence to conclude that the arsenic level in that area is higher than 3.2 mg/dl. hypothesis test for one population mean (unknown population standard deviation) confidence interval estimate for one population mean (unknown population standard deviation) hypothesis test for population mean from paired differences confidence interval estimate for population mean from paired differences hypothesis test for difference in population means from two independent samples confidence interval estimate for difference in population means from two…
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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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