Self help Examples from the t distribution
 
 
No.
 Example Values Answer
1
 P(t < -0.68) = ___ d.f. = 32 P value = 0.25
2
 P(t < 3.32) = ___ d.f. = 38 P value = 0.999
3
 P(t < 0.67) = ___ d.f. = 9999 P value = 0.75
4
 P(t < 0.85) = ___ d.f. = 75 P value = 0.8
5
 P(t < 1.33) = ___ d.f. = 18 P value = 0.9
6
 P(t < 1.05) = ___ d.f. = 40 P value = 0.85
7
 P(t < 2.42) = ___ d.f. = 40 P value = 0.99
8
 P(t < 2.43) = ___ d.f. = 38 P value = 0.99
9
 P(t < -3.73) = ___ d.f. = 25 P value = 0.0005
10
 P(t < -5.21) = ___ d.f. = 6 P value = 0.001
11
 P(t < 1.05) = ___ d.f. = 38 P value = 0.85
12
 P(t < 2.82) = ___ d.f. = 9 P value = 0.99
13
 P(t < -1.31) = ___ d.f. = 36 P value = 0.1
14
 P(t < -3.48) = ___ d.f. = 23 P value = 0.001
15
 P(t < 1.69) = ___ d.f. = 32 P value = 0.95
16
 P(t > 3.47) = ___ d.f. = 24 P value = 0.001
17
 P(t > 2.65) = ___ d.f. = 13 P value = 0.01
18
 P(t > 2.41) = ___ d.f. = 45 P value = 0.01
19
 P(t > 1.08) = ___ d.f. = 14 P value = 0.15
20
 P(t > 1.33) = ___ d.f. = 19 P value = 0.1
21
 P(t > 0.68) = ___ d.f. = 28 P value = 0.25
22
 P(t > 2.18) = ___ d.f. = 12 P value = 0.025
23
 P(t > -0.68) = ___ d.f. = 27 P value = 0.75
24
 P(t > 0.82) = ___ d.f. = 2 P value = 0.25
25
 P(t > 3.32) = ___ d.f. = 38 P value = 0.001
26
 P(t > 1.66) = ___ d.f. = 100 P value = 0.05
27
 P(t > 1.83) = ___ d.f. = 9 P value = 0.05
28
 P(t > 2.05) = ___ d.f. = 28 P value = 0.025
29
 P(t > 1.08) = ___ d.f. = 14 P value = 0.15
30
 P(t > 0.85) = ___ d.f. = 30 P value = 0.2
31
 P(|t| < 0.68) = ___ d.f. = 75 P value = 0.5
32
 P(|t| < 2.92) = ___ d.f. = 2 P value = 0.9
33
 P(|t| < 4.54) = ___ d.f. = 3 P value = 0.98
34
 P(|t| < 3.17) = ___ d.f. = 100 P value = 0.998
35
 P(|t| < 3.26) = ___ d.f. = 50 P value = 0.998
36
 P(|t| < 1.31) = ___ d.f. = 32 P value = 0.8
37
 P(|t| < 1.44) = ___ d.f. = 6 P value = 0.8
38
 P(|t| < 3.41) = ___ d.f. = 28 P value = 0.998
39
 P(|t| < 3.29) = ___ d.f. = 9999 P value = 0.999
40
 P(|t| < 0.86) = ___ d.f. = 25 P value = 0.6
41
 P(|t| < 2.02) = ___ d.f. = 40 P value = 0.95
42
 P(|t| < 1.37) = ___ d.f. = 10 P value = 0.8
43
 P(|t| < 1.96) = ___ d.f. = 9999 P value = 0.95
44
 P(|t| < 2.51) = ___ d.f. = 22 P value = 0.98
45
 P(|t| < 0.86) = ___ d.f. = 18 P value = 0.6
46
 P(|t| > 0.86) = ___ d.f. = 20 P value = 0.4
47
 P(|t| > 0.86) = ___ d.f. = 20 P value = 0.4
48
 P(|t| > 3.93) = ___ d.f. = 12 P value = 0.002
49
 P(|t| > 2.74) = ___ d.f. = 32 P value = 0.01
50
 P(|t| > 2.33) = ___ d.f. = 9999 P value = 0.02
51
 P(|t| > 3.32) = ___ d.f. = 38 P value = 0.002
52
 P(|t| > 1.75) = ___ d.f. = 15 P value = 0.1
53
 P(|t| > 0.86) = ___ d.f. = 21 P value = 0.4
54
 P(|t| > 3.33) = ___ d.f. = 36 P value = 0.002
55
 P(|t| > 2.41) = ___ d.f. = 45 P value = 0.02
56
 P(|t| > 4.5) = ___ d.f. = 8 P value = 0.002
57
 P(|t| > 3.73) = ___ d.f. = 15 P value = 0.002
58
 P(|t| > 0.68) = ___ d.f. = 24 P value = 0.5
59
 P(|t| > 2.43) = ___ d.f. = 38 P value = 0.02
60
 P(|t| > 2.11) = ___ d.f. = 17 P value = 0.05
61
 P(t < to) = 0.025 d.f. = 36 to = -2.03
62
 P(t < to) = 0.0005 d.f. = 24 to = -3.75
63
 P(t < to) = 0.15 d.f. = 36 to = -1.05
64
 P(t < to) = 0.005 d.f. = 11 to = -3.11
65
 P(t < to) = 0.001 d.f. = 34 to = -3.35
66
 P(t < to) = 0.0005 d.f. = 32 to = -3.62
67
 P(t < to) = 0.995 d.f. = 40 to = 2.7
68
 P(t < to) = 0.99 d.f. = 6 to = 3.14
69
 P(t < to) = 0.99 d.f. = 36 to = 2.43
70
 P(t < to) = 0.999 d.f. = 36 to = 3.33
71
 P(t < to) = 0.15 d.f. = 75 to = -1.04
72
 P(t < to) = 0.001 d.f. = 40 to = -3.31
73
 P(t < to) = 0.0005 d.f. = 50 to = -3.5
74
 P(t < to) = 0.0005 d.f. = 100 to = -3.39
75
 P(t < to) = 0.95 d.f. = 17 to = 1.74
76
 P(t > to) = 0.15 d.f. = 14 to = 1.08
77
 P(t > to) = 0.975 d.f. = 24 to = -2.06
78
 P(t > to) = 0.995 d.f. = 2 to = -9.92
79
 P(t > to) = 0.25 d.f. = 15 to = 0.69
80
 P(t > to) = 0.9 d.f. = 27 to = -1.31
81
 P(t > to) = 0.1 d.f. = 100 to = 1.29
82
 P(t > to) = 0.0005 d.f. = 17 to = 3.97
83
 P(t > to) = 0.25 d.f. = 40 to = 0.68
84
 P(t > to) = 0.9 d.f. = 34 to = -1.31
85
 P(t > to) = 0.15 d.f. = 15 to = 1.07
86
 P(t > to) = 0.975 d.f. = 34 to = -2.03
87
 P(t > to) = 0.9 d.f. = 5 to = -1.48
88
 P(t > to) = 0.01 d.f. = 36 to = 2.43
89
 P(t > to) = 0.9 d.f. = 16 to = -1.34
90
 P(t > to) = 0.2 d.f. = 38 to = 0.85
91
 P(|t| < to) = 0.998 d.f. = 50 to = 3.26
92
 P(|t| < to) = 0.998 d.f. = 32 to = 3.37
93
 P(|t| < to) = 0.9 d.f. = 100 to = 1.66
94
 P(|t| < to) = 0.5 d.f. = 1 to = 1
95
 P(|t| < to) = 0.999 d.f. = 36 to = 3.58
96
 P(|t| < to) = 0.5 d.f. = 20 to = 0.69
97
 P(|t| < to) = 0.9 d.f. = 21 to = 1.72
98
 P(|t| < to) = 0.95 d.f. = 12 to = 2.18
99
 P(|t| < to) = 0.95 d.f. = 45 to = 2.01
100
 P(|t| < to) = 0.7 d.f. = 36 to = 1.05
101
 P(|t| < to) = 0.8 d.f. = 2 to = 1.89
102
 P(|t| < to) = 0.998 d.f. = 36 to = 3.33
103
 P(|t| < to) = 0.5 d.f. = 75 to = 0.68
104
 P(|t| < to) = 0.998 d.f. = 45 to = 3.28
105
 P(|t| < to) = 0.6 d.f. = 36 to = 0.85
106
 P(|t| > to) = 0.001 d.f. = 26 to = 3.71
107
 P(|t| > to) = 0.01 d.f. = 10 to = 3.17
108
 P(|t| > to) = 0.2 d.f. = 15 to = 1.34
109
 P(|t| > to) = 0.001 d.f. = 75 to = 3.42
110
 P(|t| > to) = 0.01 d.f. = 9999 to = 2.58
111
 P(|t| > to) = 0.4 d.f. = 38 to = 0.85
112
 P(|t| > to) = 0.1 d.f. = 34 to = 1.69
113
 P(|t| > to) = 0.2 d.f. = 5 to = 1.48
114
 P(|t| > to) = 0.3 d.f. = 27 to = 1.06
115
 P(|t| > to) = 0.5 d.f. = 13 to = 0.69
116
 P(|t| > to) = 0.4 d.f. = 14 to = 0.87
117
 P(|t| > to) = 0.001 d.f. = 36 to = 3.58
118
 P(|t| > to) = 0.3 d.f. = 2 to = 1.39
119
 P(|t| > to) = 0.5 d.f. = 38 to = 0.68
120
 P(|t| > to) = 0.5 d.f. = 1 to = 1
121
 P(to > t) = 0.001 d.f. = 40 to = -3.31
122
 P(to > t) = 0.1 d.f. = 50 to = -1.3
123
 P(to > t) = 0.01 d.f. = 20 to = -2.53
124
 P(to > t) = 0.2 d.f. = 11 to = -0.88
125
 P(to > t) = 0.2 d.f. = 11 to = -0.88
126
 P(to > t) = 0.99 d.f. = 13 to = 2.65
127
 P(to > t) = 0.001 d.f. = 34 to = -3.35
128
 P(to > t) = 0.999 d.f. = 26 to = 3.43
129
 P(to > t) = 0.999 d.f. = 5 to = 5.89
130
 P(to > t) = 0.8 d.f. = 18 to = 0.86
131
 P(to > t) = 0.95 d.f. = 18 to = 1.73
132
 P(to > t) = 0.1 d.f. = 14 to = -1.35
133
 P(to > t) = 0.025 d.f. = 13 to = -2.16
134
 P(to > t) = 0.001 d.f. = 34 to = -3.35
135
 P(to > t) = 0.001 d.f. = 11 to = -4.02
136
 P(to < t) = 0.15 d.f. = 26 to = 1.06
137
 P(to < t) = 0.005 d.f. = 23 to = 2.81
138
 P(to < t) = 0.15 d.f. = 21 to = 1.06
139
 P(to < t) = 0.95 d.f. = 19 to = -1.73
140
 P(to < t) = 0.25 d.f. = 28 to = 0.68
141
 P(to < t) = 0.995 d.f. = 22 to = -2.82
142
 P(to < t) = 0.9995 d.f. = 40 to = -3.55
143
 P(to < t) = 0.25 d.f. = 32 to = 0.68
144
 P(to < t) = 0.9995 d.f. = 75 to = -3.42
145
 P(to < t) = 0.9 d.f. = 75 to = -1.29
146
 P(to < t) = 0.8 d.f. = 21 to = -0.86
147
 P(to < t) = 0.025 d.f. = 9 to = 2.26
148
 P(to < t) = 0.99 d.f. = 12 to = -2.68
149
 P(to < t) = 0.15 d.f. = 100 to = 1.04
150
 P(to < t) = 0.05 d.f. = 40 to = 1.68
151
 P(-to < t < to) = 0.998 d.f. = 30 to = 3.39
152
 P(-to < t < to) = 0.99 d.f. = 75 to = 2.64
153
 P(-to < t < to) = 0.5 d.f. = 19 to = 0.69
154
 P(-to < t < to) = 0.95 d.f. = 10 to = 2.23
155
 P(-to < t < to) = 0.5 d.f. = 25 to = 0.68
156
 P(-to < t < to) = 0.999 d.f. = 32 to = 3.62
157
 P(-to < t < to) = 0.99 d.f. = 100 to = 2.63
158
 P(-to < t < to) = 0.8 d.f. = 24 to = 1.32
159
 P(-to < t < to) = 0.6 d.f. = 45 to = 0.85
160
 P(-to < t < to) = 0.9 d.f. = 6 to = 1.94
161
 P(-to < t < to) = 0.998 d.f. = 100 to = 3.17
162
 P(-to < t < to) = 0.6 d.f. = 32 to = 0.85
163
 P(-to < t < to) = 0.95 d.f. = 32 to = 2.04
164
 P(-to < t < to) = 0.99 d.f. = 5 to = 4.03
165
 P(-to < t < to) = 0.95 d.f. = 28 to = 2.05
166
 P(-12.71 < t < 318.29) = ___ d.f. = 1 P value = 0.974
167
 P(1.04 < t < 2.36) = ___ d.f. = 100 P value = 0.14
168
 P(-1.3 < t < 1.3) = ___ d.f. = 38 P value = 0.8
169
 P(-1.31 < t < 1.05) = ___ d.f. = 36 P value = 0.75
170
 P(1.72 < t < 3.55) = ___ d.f. = 20 P value = 0.049
171
 P(3.28 < t < 3.28) = ___ d.f. = 45 P value = 0
172
 P(2.73 < t < 3.35) = ___ d.f. = 34 P value = 0.004
173
 P(3.33 < t < 3.58) = ___ d.f. = 36 P value = 0.0005
174
 P(-1.28 < t < 3.09) = ___ d.f. = 9999 P value = 0.899
175
 P(1.78 < t < 0.87) = ___ d.f. = 12 P value = -0.15
176
 P(2.04 < t < 3.62) = ___ d.f. = 32 P value = 0.0245
177
 P(7.17 < t < 0.94) = ___ d.f. = 4 P value = -0.199
178
 P(-2.44 < t < -1.31) = ___ d.f. = 34 P value = 0.09
179
 P(1.31 < t < 3.41) = ___ d.f. = 28 P value = 0.099
180
 P(1.94 < t < 5.21) = ___ d.f. = 6 P value = 0.049
181
 P(to < t < -0.69) = -0.7 d.f. = 17 to = 1.74
182
 P(to < t < -2.02) = 0.0245 d.f. = 38 to = -3.57
183
 P(to < t < 2.02) = 0.775 d.f. = 40 to = -0.85
184
 P(to < t < 2.02) = 0.225 d.f. = 40 to = 0.68
185
 P(to < t < 4.79) = 0.009 d.f. = 7 to = 3
186
 P(to < t < 0.68) = 0.7495 d.f. = 45 to = -3.52
187
 P(to < t < -1.1) = -0.8495 d.f. = 9 to = 4.78
188
 P(to < t < 0.85) = 0.775 d.f. = 50 to = -2.01
189
 P(to < t < 0.85) = -0.1995 d.f. = 38 to = 3.57
190
 P(to < t < 31.82) = 0.19 d.f. = 1 to = 1.38
191
 P(to < t < 2.92) = 0.245 d.f. = 16 to = 0.69
192
 P(to < t < 3.09) = 0.989 d.f. = 9999 to = -2.33
193
 P(to < t < 3.31) = 0.199 d.f. = 40 to = 0.85
194
 P(to < t < 1.8) = 0.949 d.f. = 11 to = -4.02
195
 P(to < t < 2.01) = -0.015 d.f. = 50 to = 2.4
196
 P(-2.01 < t < to) = 0.97 d.f. = 45 to = 2.69
197
 P(4.03 < t < to) = -0.145 d.f. = 5 to = 1.16
198
 P(3.55 < t < to) = -0.1495 d.f. = 40 to = 1.05
199
 P(-10.21 < t < to) = 0.049 d.f. = 3 to = -2.35
200
 P(2.01 < t < to) = 0.024 d.f. = 50 to = 3.26
201
 P(1.65 < t < to) = -0.8 d.f. = 9999 to = -1.04
202
 P(-0.86 < t < to) = 0.795 d.f. = 17 to = 2.9
203
 P(-1.31 < t < to) = 0.895 d.f. = 34 to = 2.73
204
 P(1.31 < t < to) = 0.0995 d.f. = 34 to = 3.6
205
 P(3.57 < t < to) = -0.7995 d.f. = 38 to = -0.85
206
 P(1.29 < t < to) = 0.075 d.f. = 100 to = 1.98
207
 P(0.67 < t < to) = -0.7 d.f. = 9999 to = -1.65
208
 P(3.42 < t < to) = -0.7495 d.f. = 75 to = -0.68
209
 P(0.85 < t < to) = 0.1995 d.f. = 45 to = 3.52
210
 P(2.63 < t < to) = 0.0045 d.f. = 100 to = 3.39

 
 

Revised March 20, 2002
James P. Geaghan