1. "For this question you'll be conducting a randomization test for the difference in two means using the
"Sleep Caffeine Words" dataset that is built into StatKey. Researchers wanted to know if caffeine could be used to replace the need for sleep. The study compared students' ability to recall memorized information after either the consumption of caffeine or a brief sleep. A random sample of 35 adults (between the ages of 18 and 39) were randomly divided into three groups and verbally given a list of 24words to memorize. During a break, one of the groups takes a nap for an hour and a half, another group is kept awake and then given a caffeine pill an hour prior to testing, and the third group is given a placebo. The number of words they were able to memorize is in the dataset in StatKey. We are interested in testing whether there is a difference in average recall ability between the two groups. [30 points]
Step 1: Determine what type of test you need to conduct and write the hypotheses.
Step 2: Construct a randomization distribution under the assumption that the null hypothesis
is true. Take at least 5000 resamples.
Step 3: Use the randomization distribution to find the p-value.
Step 4: Decide if you should reject or fail to reject the null hypothesis.
Step 5: State a real-world conclusion in relation to the original research question."
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