Perform the test of hypothesis on the following scenarios. The Graduate Record Exam (GRE) in a standardized test required to be admitted to many graduate schools in the united states. A high score in GRE makes admissions more likely. According to the Education Testing Service, the mean score for takers of GRE who do not have training courses is 555 with standard deviation of 139. Brain Philippine (BP) offers expensive GRE training courses, claiming their graduates score better than those who have not taken any training courses. To test the company's claim, a statistician randomly selected 30 graduates of BP and asked their GRE score. They recorded a mean score of 560 in GRE. Is the company's claim true, using a 95% confidence level?

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