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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 randomly select a sample of 30 licensed drivers. Fifteen participants are randomly assigned to get 5 hours of sleep for three consecutive nights. The other 15 participants are randomly assigned to get 8 hours of sleep for three consecutive nights. For the purposes of this Assignment, assume that all participants sleep exactly the required amounts. After the third night, all participants take a driving simulation test that measures their reaction times.
Reaction times in seconds for participants with 5 hours of sleep 0.82 0.84 0.76 0.9 0.66 0.86 0.72 0.86 0.86 0.74 0.77 0.93 0.9 0.88 0.84
Reaction times in seconds for participants with 8 hours of sleep 0.7 0.7 0.82 0.81 0.8 0.72 0.7 0.78 0.83 0.8 0.71 0.79 0.72 0.84 0.85
Two equivalent decks of 52 different cards are put into random order (shuffled) and matched against each other by successively turning over one
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Do you work hard for your money? Java professionals think they do, reporting long working hours at their jobs.
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Show that X(t) is WSS, but not strict sense stationary. Hint: For the latter case consider E[X3(t)] . - Find the PSD of this process.
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