Average Professor Feedback Score (5 points max)

Random Sample Before Training (Points) Random Sample After Training (Points)

3.92 3.64

3.85 3.5

3.5 3.74

3.64 3.56

3.68 3.82

3.71 4.65

3.82 4.73

4.19 3.77

4.51 3.67

4.38 4.45

4.47 4.09

4.2 4.56

3.95 3.64

3.67 4.53

4.41 3.62

3.26 4.14

3.69 4.11

3.75 4.58

4.13 4.77

4.24 3.5

3.99 3.94

4.26 3.92

3.55 3.58

3.83 4.04

3.5 4.09

4.24 4.4

4.35 4.58

3.28 4.52

3.53 4.52

3.44 4.39

3.44 4.58

A large college would like to determine whether their college educator development training has an effect on a professor's teaching.A sample of student feedback scores before and after the training is provided below(this sample is also contained in the DATA SET 2 tab of the downloaded excel file).At a 3% level of significance, can you conclude that there is a difference after the training?YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED.

a) Properly state the hypotheses:

b) Calculate the p-value (SHOW A TABLE FOR THE WORK)

c) Conclusion: