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A shoe company claims that running with their shoes improve people's speed. To evaluate that claim, we take a sample of 8 high-school level sprinters and have them run 100m with their own shoes, and then a week later, have them run again with the brand's shoes. Assume the time to run 100m follows a normal distribution, and run a test at a significance level 5% to determine if the new shoes make sprinters faster. Determine the hypothesis then run the test using either critical value OR p value approach. Do not forget to interpret your results. Below is the time they obtained with each pairs Runner Own shoes Brand Pair 1 12.25 10.25 2 10.75 9.50 14.00 14.50 4 11.00 10.00 13.00 11.75 6. 13.50 14.00 12.75 12.25 13.75 13.25

A shoe company claims that running with their shoes improve people's speed. To evaluate that claim, we take a sample of 8 high-school level sprinters and have them run 100m with their own shoes, and then a week later, have them run again with the brand's shoes. Assume the time to run 100m follows a normal distribution, and run a test at a significance level 5% to determine if the new shoes make sprinters faster. Determine the hypothesis then run the test using either critical value OR p value approach. Do not forget to interpret your results. Below is the time they obtained with each pairs Runner Own shoes Brand Pair 1 12.25 10.25 2 10.75 9.50 14.00 14.50 4 11.00 10.00 13.00 11.75 6. 13.50 14.00 12.75 12.25 13.75 13.25

MATLAB: An Introduction with Applications
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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A shoe company claims that running with their shoes improve people's speed. To evaluate that claim, we take a sample of 8 high-school level sprinters and have them run 100m with their own shoes, and then a week later, have them run again with the brand's shoes. Assume the time to run 100m follows a normal distribution, and run a test at a significance level 5% to determine if the new shoes make sprinters faster. Determine the hypothesis then run the test using either critical value OR p value approach. Do not forget to interpret your results. Below is the time they obtained with each pairs Runner Own shoes Brand Pair 1 12.25 10.25 10.75 9.50 3 14.00 14.50 4 11.00 10.00 13.00 11.75 6. 13.50 14.00 12.75 12.25 7 13.75 13.25 8.
Transcribed Image Text:A shoe company claims that running with their shoes improve people's speed. To evaluate that claim, we take a sample of 8 high-school level sprinters and have them run 100m with their own shoes, and then a week later, have them run again with the brand's shoes. Assume the time to run 100m follows a normal distribution, and run a test at a significance level 5% to determine if the new shoes make sprinters faster. Determine the hypothesis then run the test using either critical value OR p value approach. Do not forget to interpret your results. Below is the time they obtained with each pairs Runner Own shoes Brand Pair 1 12.25 10.25 10.75 9.50 3 14.00 14.50 4 11.00 10.00 13.00 11.75 6. 13.50 14.00 12.75 12.25 7 13.75 13.25 8.
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