A schoolteacher has introduced a new style of teaching practices. Now she wants to know if her new style is helpful to the students to obtain a better score. She decided to take a sample of X students and save it in a file called "StudentsPerformance.csv". To evaluate the new student's performance, she saved the students' scores in math, reading and writing tests. Assume that we want to determine if the new teaching practices helped the students to improve their scores. Use R code to answer the following. Show the code and the output.

1) If the mean score of the math test went up 3.6 and the population standard deviation is 15. Determine if the new practices helped the students to improve their scores. Choose alpha=0.05.

2) If the mean score of the reading test went up 5.2 and the population standard deviation is 14. Determine if the new practices helped the students to improve their scores. Choose alpha=0.05

3) If the mean score of the writing test went up 4.7 and the population standard deviation is 15. Determine if the new practices helped the students to improve their scores. Choose alpha=0.05.

https://airtable.com/shrq7Sc4Q9M8KhBaH(The `csv` file called "StudentsPerformance.csv")