An analyst at a business school in France is assessing students’ performance. Historical records of applicants suggest that the mean score obtained by students attending the school is 350. The business school administration wants to know whether the performance of students enrolled in the current year has changed or not. From the recent scores of a sample of 100 students, the average score is 365 with a standard deviation of 38. Does this data provide statistical evidence that the quality of students has improved? Formulate the appropriate hypothesis test and conduct the test.