please help, thx

2020 was the first time that our teaching team delivered all FIT5197 teaching activities online and we are curious to know how the performance of students can be compared with that of semesters when on-campus teaching was the sole mode of delivery. Therefore, we randomly pick 10 students from year 2019, and another 15 students from year 2020 to investigate. Assuming that the student's score is normally distributed, i.e. the student's score in 2019 is denoted as X ~ N011, of), and the student's score in 2020 is denoted as Y ~ N042, 0%). From the collected samples' we have :i = 82, a: = 56.5. and 37 = 76, a; = 52.4 for 2019 and 2020 respectively. Using such information, please try your best in answering the following questions: (1) If we know that a} = 64, a? = 49, please nd the 95% confidence interval for m pg (2) If we only know that of = 02, please find the 95% confidence interval for m pg (3) If we are not sure about 0'1 and 0'; , please find the 95% confidence interval for m p3