12. Do wearing custom-made shoes, made specifically for the runner, help a runner run faster? To answer this question, twelve competitive runners were randomly selected and their maximum velocity (in...

a. state the null and alternative hypothesis

b. if appropriate find the observed value, if not, state why

c. find the p-value

d. if appropriate, find and interpret the CI

Extracted text: 12. Do wearing custom-made shoes, made specifically for the runner, help a runner run faster? To answer this question, twelve competitive runners were randomly selected and their maximum velocity (in mph) was recorded while wearing the custom-made shoes and then again while not wearing the custom-made shoe. (A time for rest was granted and it was randomly determined if they ran with the custom-made shoes first or second. The runners ran 100 yards.) Custom shoes 23.2 20 Regular shoes 14.8 16.1 15.4 18 17.6 22.9 21.5 23 | 20.8 18.9 24 20.4 18.2 19.3 | 16.3 19 18.8 19.2 19.3 19.6 18.4 | 18.5 a. At the 5% significance Jevel, what conclui