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.
- Naps Vs Coffee For Memory It Is Estimated That About 75 Of Adults In The United States Drink Coffee Often Coffee Is 1 (12.76 KiB) Viewed 81 times
the mean reaction time measurement for participants in each of
these three groups. (You should find three separate confidence
intervals.) For your computations make sure that you do not
use canned functions. Use CI formulas and show your
steps. Write each CI to the screen.
Part B: Use an appropriate hypothesis test to
determine if there sufficient evidence, at the α=0.1
significance level, to conclude that taking a nap promotes faster
reaction time than drinking coffee. Be sure to clearly explain the
test that you're doing and state all hypotheses.
Standard Deviation Group Coffee+Nap Coffee Sample Size Mean 10 351.6 39.9 10 391.2 37.6 Nap 10 382.8 40.5