The table shows the midterm and ?nal examination test scores for 10 students from a differential equations class, where x denotes the midterm scores and y denotes the ?nal scores.
|
x
|
68
|
87
|
75
|
91
|
82
|
77
|
86
|
82
|
75
|
79
|
|
y
|
74
|
89
|
80
|
93
|
88
|
79
|
97
|
95
|
89
|
92
|
(a) At 95% con?dence level, test whether X and Y are independent.
(b) Find the p-value.
(c) State any assumptions you have made in solving the problem.