Here are the results of your pre- and post-test, both marked out of a score of 100:

Sam 73, 87

Thu 71, 74

Milli 75 ,75

Val 69, 73

taggi 65, 81

Bran 68 ,74

Bloom 78, 71

Sim 68, 78

Peggy 74, 79

lary 67, 74

Tanner 63, 67

Royal 73, 83

Courtright 77, 77

Lanman 70, 79

Shisler 63, 67

Donohoe 72, 81

Teena 64, 80

Sterns 69, 63

Elvira 76, 79

Mcnish 66, 74

Upham 71, 75

Grajeda 74, 70

Pettyjohn 75, 71

Watley 65, 79

The first number after each person's name is the pre-test score and the second number is the post-test score. What conclusion would you draw from these data? Conduct a two sample hypothesis test to determine if your classroom activity actually made a difference to the learning of your students

Furthermore, a colleague of yours is also teaching a section of Grade 10 Mathematics and just gave her class a quiz on the same topic. She has shared her class quiz scores for the 18 students in her class with you, which are, (marked out of 100): 81, 78, 73, 75, 89, 84, 71, 79, 79, 73, 84, 93, 87, 76, 81, 88, 77, 82 Is there a statistically significant difference between your two classes? How would you know and what would you do to answer this question?