3. 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 17.6 22.9 21.5 23 20.8 18.9 24 18.8 19.2 19.3 Regular shoes 14.8 16.1 15.4 18 20.4 18.2 19.3 16.3 19 19.6 18.4 18.5 a. At the 5% significance level, what conclusion can be reached? b. Are the samples independent or dependent?
3. 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 17.6 22.9 21.5 23 20.8 18.9 24 18.8 19.2 19.3 Regular shoes 14.8 16.1 15.4 18 20.4 18.2 19.3 16.3 19 19.6 18.4 18.5 a. At the 5% significance level, what conclusion can be reached? b. Are the samples independent or dependent?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Transcribed Image Text:3. 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
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
Regular shoes 14.8 16.1 15.4 18
19.6 18.4 18.5
a. At the 5% significance level, what conclusion can be reached?
b. Are the samples independent or dependent?
c. If independent, would using dependent samples have been better? Why or Why not? If depen-
dent, explain why dependent samples were used.
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