Naps vs Coffee for Memory? It is estimated that about 75% of adults in the United States drink coffee. Often, coffee is

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Naps vs Coffee for Memory?
It is estimated that about 75% of adults in the United
States drink coffee. Often, coffee is used to replace the need for
sleep. It works alright, or so we think. Let's find out, in this
exciting homework problem!
One recent study investigated the effects of drinking
coffee, taking a nap, and having a "coffee-nap" - the
practice of drinking some coffee and then having
a short nap. The study broke participants up into three groups of
10 participants each, where the groups would have a nap, or have a
coffee, or have a coffee-nap, then perform a task where their
reaction time was measured. In previous experiments the mean
reaction time measurement was found to be normally distributed. The
reaction time means (milliseconds, ms) and standard deviations for
the three groups of participants are given in the table below.
Part A: Perform two hypothesis tests both at
the α=0.1 significance level, to first determine if there is
sufficient evidence to conclude that taking a coffee-nap promotes
faster reaction time than only drinking coffee. The second
hypothesis test should determine if there is sufficient evidence to
conclude that taking a coffee-nap promotes faster reaction time
than only having a nap. Be sure to clearly explain the test that
you're doing and state all hypotheses. Report results.