You want to compare the reliability of two machines that insert chips onto electronic cards. The main problem is the occurrence of jams in the feeding mechanism, as this requires stopping production to fix the trouble. To this aim you observe the number of jams when producing standard batches of electronic cards, resulting in the following table:
| Machine 1 | Machine 2 |
| Sample size |
46 |
54 |
| Sample mean |
8.2 |
9.4 |
| Sample standard deviation |
2.1 |
2.9 |
Is there a significant difference between the two machines?