Question: Do students sleep more in Pennsylvania or in California? Data from surveys in elementary statistics classes at Penn State University and the University of California at Davis resulted in the following summary statistics for the number of hours students sleep:
Assume that these students are representative of all students at those two schools. Is there sufficient evidence to conclude that the mean hours of sleep are different at the two schools? Carry out all steps of the hypothesis test, and define all parameters. Specify the value of a that you chose to use.