) An instructor for a SAT prep course claims that the course will improve the test scores of students.

7.) An instructor for a SAT prep course claims that the course will improve the test scores of students. The table shows the critical reading scores for 10 students the first two times they took the SAT. However before taking the test the second time, the students took a course to improve their critical reading scores. With α = 0.05, is there enough evidence to support the instructor's claim? Does your answer change if α = 0.01? Why or why not? 

Student         1,      2,     3,    4,   5,     6,    7,   8,    9,   10

Score (1st)    300, 450, 350, 430, 300, 470, 420, 370, 320, 410

Score (2nd)   400, 520, 400, 490, 340, 580, 450, 400, 390, 450

Identify the null hypothesis:

Identify the Alternate Hypothesis:

Reject or Do not reject the claim?

Conclusion statement:

What if a=0.01 does this change your decision? Why or why not?