Scenario: Imagine you are a researcher who is interested in studying whether sleep deprivation leads to increased reaction times ( i.e., being slower ) when driving. You ramdomly select a sample of 30 licensed drivers. 15 participants are randomly assigned to get 5 hours of sleep for 3 consecutive nights. The other 15 participants are ramdomly assigned to get 8 hours of sleep for 3 consecutive nights. . Assume that all participants sleep exaclty the required amounts. After the third night , all participants take a driving simulation test that measures their reaction times. Data set ( reaction times in seconds for participants with 5 hours of sleep 0.21,0.24,0.29,0.29,0.2,0.28,0.2,0.3,0.28,0.24,0.3,0.23,0.29,0.28,0.29). (Reaction times in seconds for participants with 8 hours of sleep 0.23,0.21,0.23,0.24,0.28,0.23,0.22,0.29,0.23,0.22,0.24,0.25,0.29,0.22,0.26. explain what the researcher can conclude about the relationship between amount of sleep and reaction times and state the degree of freedom and explain how you calculated it by hand