Dr. Anzaldua would like to examine how sleep deprivation can affect reaction
times. She researcher expects that people will have slower reaction times
(that is higher numbers) when they are sleep deprived relative to when they
are well rested. A sample of n=10 college students is recruited and comes into
the research lab on two separate days. Dr. Anzaldua first has participants
come into the lab, allows them to sleep 8 hours that night and measures their
reaction time on a standardized task. The next week the students come into
the lab again and Dr. Anzaldua only allows them to sleep 2 hours that night.
She then measures their reaction times again. The average score increased by
MD=18 points after the meal, with SSD-7290 for the difference scores.
a. Is there a significant difference in reaction times when sleep deprived
versus well rested? Use a one-tailed test with a=.05. Be sure to include all 4
steps of the hypothesis testing process that was outlined in the textbook as
well as in class (state hypotheses, find critical value(s), compute test statistic,
make decision (with evidence and interpretation)).
b. Make an 95% confidence interval estimate of the population treatment
effect.