a. state the null and alternative hypothesis b. if appropriate find the observed value, if not, state why c. find the p-value

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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

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
Transcribed Image 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
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