The data of two groups, each group contains two random variables (X1,Y1 and X2,Y2) and each of 30 students is collected. We would like to study the relation between X1,Y1 and X2,Y2 using the measure denoted by T1 andT2, where The data given below, compare between the groups and interpret your results.
The data of two groups, each group contains two random variables (X1,Y1 and X2,Y2) and each of 30 students is collected. We would like to study the relation between X1,Y1 and X2,Y2 using the measure denoted by T1 andT2, where The data given below, compare between the groups and interpret your results.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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![The data of two groups, each group contains two random variables (X1,Y1 and
X2,Y2) and each of 30 students is collected. We would like to study the relation
between X1,Y1 and X2,Y2 using the measure denoted by T1 andT2, where
T1 = E[(Xi – X1)(Yıi – K)]² / [E(x1i - X,)²E(Yu – ¥,)*] ].
T2 = E[(X2i – X2)(Yi – Y)J² / [,E(X2i – X,)² E(Yzi – ¥)²] ].
The data given below, compare between the groups and interpret your results.
1
XI
Y1
X2
Y2
98
44
74
52
95
57
79
59
94
66
78
56
81
64
70
74
84
73
79
77
66
65
72
66
73
65
74
50
72
67
98
62
71
66
93
76
67
76
76
84
70
77
86
55
93
66
98
66
92
43
83
65
77
58
68
59
94
56
73
53
76
70
69
74
93
59
90
50
69
59
70
51
86
66
84
55
98
51
78
48
71
64
75
61
95
74
81
53
84
73
73
46
83
69
80
52
78
58
98
61
72
70
79
68
98
53
98
52
73
54
77
56
81
71
84
51
84
49
82
69](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff738ced-0f3b-412d-a4c4-f5aff119d8b9%2Fe18962c2-f204-46ad-a3d4-318f64f2c911%2Fse2nsl5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The data of two groups, each group contains two random variables (X1,Y1 and
X2,Y2) and each of 30 students is collected. We would like to study the relation
between X1,Y1 and X2,Y2 using the measure denoted by T1 andT2, where
T1 = E[(Xi – X1)(Yıi – K)]² / [E(x1i - X,)²E(Yu – ¥,)*] ].
T2 = E[(X2i – X2)(Yi – Y)J² / [,E(X2i – X,)² E(Yzi – ¥)²] ].
The data given below, compare between the groups and interpret your results.
1
XI
Y1
X2
Y2
98
44
74
52
95
57
79
59
94
66
78
56
81
64
70
74
84
73
79
77
66
65
72
66
73
65
74
50
72
67
98
62
71
66
93
76
67
76
76
84
70
77
86
55
93
66
98
66
92
43
83
65
77
58
68
59
94
56
73
53
76
70
69
74
93
59
90
50
69
59
70
51
86
66
84
55
98
51
78
48
71
64
75
61
95
74
81
53
84
73
73
46
83
69
80
52
78
58
98
61
72
70
79
68
98
53
98
52
73
54
77
56
81
71
84
51
84
49
82
69
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