Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times (in minutes): 238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9 Borform a hypothesis test using a 1% level of significance to test Londell's claim
Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a 26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times (in minutes): 238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7, 240.2, 233.9 Borform a hypothesis test using a 1% level of significance to test Londell's claim
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Londell, an accomplished marathon runner, claims that the standard deviation for his time to run a
26.2 mile marathon is less than 11.1 minutes. To test his claim, Londell looks up 17 of his race times
(in minutes):
238.6, 240, 231.4, 241.4, 251.9, 230.4, 232.1, 235.7, 234.6, 242.9, 240.5, 237.6, 242.2, 245.7, 235.7,
240.2, 233.9
Perform a hypothesis test using a 1% level of significance to test Londell's claim.
Step 1: State the null and alternative hypotheses.
Ho:o 11.1
Ha:o<vv 11.1
(So we will be performing a left-tailed
✓✓test.)
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
Because we are testing the population standard deviation, we will use a [Select an answer
distribution with
degrees of freedom.
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