Using the before-and-after brand perception scores in the table below and assuming that the appropriate population conditions are satisfied, construct a hypothesis test of the null hypothesis that there is no difference in average before-and-after scores for the populations. Use a significance level of 5%.
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Kentrex, a maker of game consoles, wants to determine whether a proposed new advertising campaign will change gamers' perception of the brand. To conduct the test, Kentrex selected a selected a panel of 6 game players and used an extensive questionnaire to measure brand perception before and after the panel is shown the new campaign through a series of ads. Using the before-and-after brand perception scores in the table below and assuming that the appropriate population conditions are satisfied, construct a hypothesis test of the null hypothesis that there is no difference in average before-and-after scores for the populations. Use a significance level of 5%.
| player | 1 | 2 | 3 | 4 | 5 | 6 |
| before | 47 | 52 | 67 | 31 | 62 | 59 |
| after | 57 | 54 | 72 | 37 | 60 | 68 |
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