A sleep center hypothesizes that people who sleep only four hours will score lower than people who sleep for eight hours on a cognitive skills test.

Group Y: Four hrs sleep
Conduct the following hypothesis test:
– A one-tail T-test for a two-sample difference in means at the 95% confidence level
– with Null Hypothesis that the Group X mean CAT score is equal to the Group Y mean CAT score
– and with Alternate Hypothesis that the Group X mean CAT score is greater than the Group Y mean CAT score