A random sample of 10 college freshmen underwent an intensive training course to improve their biology test scores. Each students test scores from before the course and after the course are listed below. Calculate a two-sided 95% confidence interval for the mean difference in the scores. Please show your work.
|
Student
|
Before
|
After
|
|
1
|
60
|
70
|
|
2
|
55
|
71
|
|
3
|
68
|
72
|
|
4
|
49
|
65
|
|
5
|
71
|
89
|
|
6
|
89
|
95
|
|
7
|
94
|
99
|
|
8
|
85
|
82
|
|
9
|
75
|
84
|
|
10
|
78
|
76
|