b) Four athletes were asked to run 100m without warming up prior to run- ning. On another day they warmed up first and then ran. On both occasions they were timed and the results (in seconds) are as follows: Individual 1 2 3 4 No Warm Up 12.0 10.5 13.3 12.3 Warm Up 11.9 10.4 12.7 12.2 i) Briefly explain why these groups ("No Warm Up" and "Warm Up") cannot be considered independent. ii) Using a 90% confidence interval, determine whether or not there is evidence that warming up influences the 100m time. Clearly state the null and alternative hypotheses and provide your conclusion in both statistical and non-statistical language.
b) Four athletes were asked to run 100m without warming up prior to run- ning. On another day they warmed up first and then ran. On both occasions they were timed and the results (in seconds) are as follows: Individual 1 2 3 4 No Warm Up 12.0 10.5 13.3 12.3 Warm Up 11.9 10.4 12.7 12.2 i) Briefly explain why these groups ("No Warm Up" and "Warm Up") cannot be considered independent. ii) Using a 90% confidence interval, determine whether or not there is evidence that warming up influences the 100m time. Clearly state the null and alternative hypotheses and provide your conclusion in both statistical and non-statistical language.
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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Transcribed Image Text:b) Four athletes were asked to run 100m without warming up prior to run-
ning. On another day they warmed up first and then ran. On both
occasions they were timed and the results (in seconds) are as follows:
Individual
1
2
3
4
No Warm Up 12.0 10.5 13.3 12.3
Warm Up
11.9 10.4 12.7 12.2
i) Briefly explain why these groups ("No Warm Up" and "Warm Up")
cannot be considered independent.
ii) Using a 90% confidence interval, determine whether or not there is
evidence that warming up influences the 100m time. Clearly state
the null and alternative hypotheses and provide your conclusion in
both statistical and non-statistical language.
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