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
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: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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