A local school district recently implemented experimental program to improve mathematical skills for a specific high risk population. They selected 15 students to be in the initial study. After 1 year, the students in the program took a national mathematic achievement test. Students in this high risk population score an average of 35 with a standard deviation of 6. The goal of the program is for students to increase performance. The scores the students received are listed below. Identify the null and alternative hypothesis. (Specify which is the null and which is the alternative. in your answer)
At the 0.05 significance level, should we reject the null hypothesis?
Using this initial study, should the school district continue to fund the program and possibly extend the program to a larger number of students? Explain why or why not.