<s>[INST] A professor of marketing is interested in the relationship between the number of hours spent studying for and the score received on a certain test. He has collected the following data on the hours spent studying (in hours) and the score received (in points):
 Study Hours (X) | Test Score (Y)
----------------|-------------
4 | 60
2 | 45
8 | 80
10 | 90
5 | 65
6 | 75
8 | 95
2 | 40
The professor is interested in testing the hypothesis that there is no linear relationship between study hours and the test score versus the alternative that there is a linear relationship.[/INST]