A math teacher wants to determine the effectiveness of her statistics lesson. She gives a simple skills test to nine students before the start of class (a pre-test) and the same skills test to the...

A math teacher wants to determine the effectiveness of her statistics lesson. She gives a simple
skills test to nine students before the start of class (a pre-test) and the same skills test to the same
students at the end of class (a post-test). Here’s the data (with some calculations)
Pre-test                 Post-test
78                               80
67                                69
56                                70
78                                79
96                                96
82                                84
84                                88
90                                92
87                                92
a) Was there a change in student performance from the Pre-test to the Post-test? Level of significance 5%
b) Write a brief report explaining your findings