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...

Extracted 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.