[Step-by-Step] A sample of seven students who were given a GMAT test before and after they took instructional review classes had the following scores. These
Question:
A sample of seven students who were given a GMAT test before and after they took instructional review classes had the following scores. These data are also in the accompanying spreadsheet.
| Student | Before | After |
| 1 | 500 | 510 |
| 2 | 570 | 650 |
| 3 | 430 | 480 |
| 4 | 440 | 460 |
| 5 | 440 | 410 |
| 6 | 510 | 600 |
| 7 | 690 | 750 |
You would like to be able to assert that the instructional review classes were beneficial.
- What is the null hypothesis and what is the alternative hypothesis?
- State which test should be used and explain why it is the appropriate test for this problem.
- At the 0.05 level of significance, can we conclude that the instructional review classes were helpful? Show your work.
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