Discussion:
The following data compares the statistics scores from 2 groups of students who were randomly sampled at the beginning of the study, and then randomly assigned to treatment conditions. One group of students was sleep-deprived and one group of students got a normal night's sleep.
Sleep Normal
Deprived Sleep
45 79
55 52
67 84
78 94
45 91
77 89
76 79
67 67
77 77
44 91
_
X 63.1 80.3
s2 210.11 166.46
Q1. What type of design was used for this problem?
Q2. How many subjects participated in this study?
Q3. Should the researcher test whether the assumption of homogeneity has been met? Why or why not? No testing is needed for this question.
Q4. Perform an appropriate analysis by hand to determine whether the sleep deprivation significantly reduces statistics scores (include all steps).
Q5. Write a sentence in APA style regarding the results of this study.
Q6. At the 80% confidence level, by how many points do people who got a normal nightâ??s sleep outperform those who are sleep-deprived? Show all necessary work to reach a conclusion.
Q7. Interpret your confidence interval, that is, report the results of your estimation in a sentence. However, do not use the confidence interval to interpret the hypothesis test, rather, interpret the interval itself.