A market research firm used a sample of individuals to rate the potential to purchase for a particular product before and after the individuals saw a new television commercial about the product. The potential to purchase ratings were based on a 0 to 10 scale, with higher values indicating hire potential to purchase. The null hypothesis stated that the mean rating “after” would be less than or equal to the mean rating “before.” Rejection of this hypothesis would provide the conclusion that the commercial improved the mean potential to purchase rating. Use α =.05 and the following data to test the hypothesis and comment on the value of the commercial:

Purchase rating
Purchase rating
Individual
After
Before
1
6
5
2
6
4
3
7
7
4
4
3
5
3
5
6
9
8
7
7
5
8
6
6