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Need help with the following Determine if there is a significant difference between student diagnostic test scores before and after completing a workshop. Explain your

Need help with the following

Determine if there is a significant difference between student diagnostic test scores before and after completing a workshop. Explain your answer.

From the data below, I was able to return the following stats:

t-Test: Paired Two Sample for Means
Pre-Test Post-Test
Mean 82.66667 91.38667
Variance 135.4414 355.6728
Observations 75 75
Pearson Correlation 0.279937
Hypothesized Mean Difference 0
df 74
t Stat -3.93538
P(T<=t) one-tail 9.29E-05
t Critical one-tail 1.665707
P(T<=t) two-tail 0.000186
t Critical two-tail 1.992543

Pre-Test Post-Test
59 62
59 126
60 63
63 130
64 65
64 69
65 67
66 70
66 69
68 131
69 73
69 71
72 133
72 134
73 77
73 75
73 78
73 75
73 77
73 77
73 135
76 81
77 81
77 82
77 92
78 83
78 81
78 141
78 82
79 82
82 84
83 85
83 85
83 83
83 83
83 94
83 98
84 94
84 85
85 90
85 57
85 60
85 89
86 91
86 89
86 61
87 90
87 84
87 89
88 92
88 98
88 83
88 92
88 98
89 92
89 92
89 92
93 101
93 101
93 101
94 101
94 101
94 101
97 104
97 104
97 104
101 82
101 109
101 109
101 105
101 106
101 107
101 108
101 109
101 109

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