14.1 The researcher has the idea that listening to hard rock music can directly influence one’s perception of the world. The professor randomly selects a group of 15 individuals from his “Introduction to Psychology” lecture hall class of 300 freshman students. He wishes to test his theory on his sample of 15 students by giving them the World Perception Test (WPT), having them listen to loud hard rock music, and then regiving the WPT. The test results are as follows.

The WPT premusic scores are 16.34, 16.67, 17.18, 16.73, 16.37, 16.91, 17.32, 16.61, 16.67, 17.23, 17.26, 16.70, 16.43, 17.32, and 16.52. The WPT postmusic scores are 16.62, 16.49, 16.91, 16.61, 16.34, 16.85, 17.12, 16.43, 16.49 17.20, 16.70, 16.55, 16.25, 17.06, and 16.37. Write the null and alternative hypotheses, and see if you can produce statistical evidence in support of the professor’s idea that listening to hard rock music can actually change your perception of the world.