Please help me answer these questions with full solutions and steps in HYPOTHESIS TESTING, I will give 5 stars

1. The average score ofall sixth graders in school DistrictA on a math aptitude exam is 75 with a standard deviation of 8.1. A random sample of 100 students in one school was ta ken. The mean score of these 100 students was 71. Does this indicate that the students of this school are significantly less skilled in their mathematical abilities than the average student in the district? (Use a 5% level of significance.) 2. A principal at a certain school claims that the students in his school are above average intelligence. A random sample_offifty students IO scores have a mean score of 112. Is there sufficient evidence to support the principal's claim? The mean population IQ is 100 with a standard deviation of 15