Question: Two sisters attend different universities. Each is sure that she has to compete with brighter students than her sister. They decide to settle their disagreement by comparing ACT admission scores of freshmen at the two schools. Suppose they bring you the following data and ask for an analysis. The N's represent all freshmen for one year.
The U. State U.
X¯ 23.4 23.5
s^ 3 3
N 8000 8000
The sisters agree to a significance level of .05. Begin by deciding whether to use a one-tailed or a two-tailed test. Calculate a t test and interpret your results. Be sure to carry several decimal places in your work on this problem.