Question: Samples of students at UNR & TMCC have taken the same standardized test. The ranked data shown below displays the test scores. Use the Mann-Whitney U test with α = 5% to compute whether, on average, students at UNR score higher than students at TMCC.
|
Score
|
College
|
|
|
62
|
TMCC
|
|
|
65
|
TMCC
|
|
|
67
|
UNR
|
|
|
67
|
TMCC
|
|
|
67
|
TMCC
|
|
|
71
|
UNR
|
|
|
73
|
TMCC
|
|
|
74
|
TMCC
|
|
|
76
|
UNR
|
|
|
76
|
UNR
|
|
|
76
|
TMCC
|
|
|
79
|
UNR
|
|
|
81
|
TMCC
|
|
|
84
|
UNR
|
|
|
85
|
TMCC
|
|
|
86
|
UNR
|
|
|
88
|
UNR
|
|
|
88
|
TMCC
|
|
|
90
|
UNR
|
|
|
92
|
UNR
|
|
|
95
|
UNR
|
|
|
95
|
UNR
|
|
|
95
|
UNR
|
|
|
95
|
TMCC
|
|
|
98
|
TMCC
|
|
|
99
|
UNR
|
|
This is a one-tailed test, & we will reject Ho if U(TMCC) is too low.