Sam sleepresearcher hypothesizes that people who are allowed to sleep for only four hours will score significantly lower than people who are allowed to sleep for eight hours on a cognitive skills test. he brings sixteen participants into his sleep lab and randomly assigns them to one of two groups. in one group he has participants sleep for eight hours and in the other group he has them sleep for four. the next morning he administers the SCAT (sams cognitive ability test) to all participants. (scores on the SCAT range from 1-9 with high scores representing better performance). 8 hours sleep group: 5 7 5 3 5 3 3 9
4 hours sleep group: 8 1 4 6 6 4 1 2
A. Identify the populations of interest and clearly state the null and alternate hypotheses in plain english
B. State the null and alternate hypotheses in statistical terminology and the appropriate test for the hypothesis.
C. Calculate the value of the relevant test statistic
D. Find the critical value for the relevant test statistic at alpha=.05
E. Can you reject the null hypothesis? explain your answer.
F. Write down your conclusion from the test in plain english