Self help Examples from the Z distribution
 
No.
 Example Answer
1
 P(Z < 1.81) = ___ P value = 0.9649
2
 P(Z < 0.03) = ___ P value = 0.512
3
 P(Z < 0.26) = ___ P value = 0.6026
4
 P(Z < 1.76) = ___ P value = 0.9608
5
 P(Z < 2.9) = ___ P value = 0.9981
6
 P(Z < 0.96) = ___ P value = 0.8315
7
 P(Z < -2.52) = ___ P value = 0.0059
8
 P(Z < 1.4) = ___ P value = 0.9192
9
 P(Z < 2.05) = ___ P value = 0.9798
10
 P(Z < 2.65) = ___ P value = 0.996
11
 P(Z < 1.38) = ___ P value = 0.9162
12
 P(Z < -1.39) = ___ P value = 0.0823
13
 P(Z < -0.3) = ___ P value = 0.3821
14
 P(Z < -0.87) = ___ P value = 0.1922
15
 P(Z < -0.7) = ___ P value = 0.242
16
 P(Z > -2.78) = ___ P value = 0.9973
17
 P(Z > 2.94) = ___ P value = 0.0016
18
 P(Z > -0.04) = ___ P value = 0.516
19
 P(Z > 2.84) = ___ P value = 0.0023
20
 P(Z > -0.69) = ___ P value = 0.7549
21
 P(Z > -0.59) = ___ P value = 0.7224
22
 P(Z > 2.26) = ___ P value = 0.0119
23
 P(Z > 0.75) = ___ P value = 0.2266
24
 P(Z > 1.07) = ___ P value = 0.1423
25
 P(Z > -1.59) = ___ P value = 0.9441
26
 P(Z > 2.5) = ___ P value = 0.0062
27
 P(Z > 0.14) = ___ P value = 0.4443
28
 P(Z > 0.87) = ___ P value = 0.1922
29
 P(Z > 0.98) = ___ P value = 0.1635
30
 P(Z > 1.94) = ___ P value = 0.0262
31
 P(|Z| < 2.57) = ___ P value = 0.9898
32
 P(|Z| < 3.13) = ___ P value = 0.9983
33
 P(|Z| < 1.42) = ___ P value = 0.8444
34
 P(|Z| < 2.12) = ___ P value = 0.966
35
 P(|Z| < 3.22) = ___ P value = 0.9987
36
 P(|Z| < 3.25) = ___ P value = 0.9988
37
 P(|Z| < 1.94) = ___ P value = 0.9476
38
 P(|Z| < 1.47) = ___ P value = 0.8584
39
 P(|Z| < 0.15) = ___ P value = 0.1192
40
 P(|Z| < 1.65) = ___ P value = 0.9011
41
 P(|Z| < 2.11) = ___ P value = 0.9651
42
 P(|Z| < 3.42) = ___ P value = 0.9994
43
 P(|Z| < 0.4) = ___ P value = 0.3108
44
 P(|Z| < 2.39) = ___ P value = 0.9832
45
 P(|Z| < 2.45) = ___ P value = 0.9857
46
 P(|Z| > 3.12) = ___ P value = 0.0018
47
 P(|Z| > 0.9) = ___ P value = 0.3681
48
 P(|Z| > 2.99) = ___ P value = 0.0028
49
 P(|Z| > 3.42) = ___ P value = 0.0006
50
 P(|Z| > 3.35) = ___ P value = 0.0008
51
 P(|Z| > 2.78) = ___ P value = 0.0054
52
 P(|Z| > 2.1) = ___ P value = 0.0357
53
 P(|Z| > 1.25) = ___ P value = 0.2113
54
 P(|Z| > 0.18) = ___ P value = 0.8572
55
 P(|Z| > 2.66) = ___ P value = 0.0078
56
 P(|Z| > 0.16) = ___ P value = 0.8729
57
 P(|Z| > 2.09) = ___ P value = 0.0366
58
 P(|Z| > 0.37) = ___ P value = 0.7114
59
 P(|Z| > 3.37) = ___ P value = 0.0008
60
 P(|Z| > 0.32) = ___ P value = 0.749
61
 P(Z < Zo) = 0.877 Zo = 1.16
62
 P(Z < Zo) = 0.0015 Zo = -2.97
63
 P(Z < Zo) = 0.8264 Zo = 0.94
64
 P(Z < Zo) = 0.9971 Zo = 2.76
65
 P(Z < Zo) = 0.508 Zo = 0.02
66
 P(Z < Zo) = 0.0015 Zo = -2.97
67
 P(Z < Zo) = 0.6664 Zo = 0.43
68
 P(Z < Zo) = 0.0808 Zo = -1.4
69
 P(Z < Zo) = 0.9429 Zo = 1.58
70
 P(Z < Zo) = 0.1492 Zo = -1.04
71
 P(Z < Zo) = 0.9664 Zo = 1.83
72
 P(Z < Zo) = 0.4013 Zo = -0.25
73
 P(Z < Zo) = 0.9927 Zo = 2.44
74
 P(Z < Zo) = 0.9906 Zo = 2.35
75
 P(Z < Zo) = 0.0143 Zo = -2.19
76
 P(Z > Zo) = 0.2981 Zo = 0.53
77
 P(Z > Zo) = 0.877 Zo = -1.16
78
 P(Z > Zo) = 0.0446 Zo = 1.7
79
 P(Z > Zo) = 0.67 Zo = -0.44
80
 P(Z > Zo) = 0.9842 Zo = -2.15
81
 P(Z > Zo) = 0.9066 Zo = -1.32
82
 P(Z > Zo) = 0.877 Zo = -1.16
83
 P(Z > Zo) = 0.9608 Zo = -1.76
84
 P(Z > Zo) = 0.5359 Zo = -0.09
85
 P(Z > Zo) = 0.9177 Zo = -1.39
86
 P(Z > Zo) = 0.9949 Zo = -2.57
87
 P(Z > Zo) = 0.1423 Zo = 1.07
88
 P(Z > Zo) = 0.9922 Zo = -2.42
89
 P(Z > Zo) = 0.0104 Zo = 2.31
90
 P(Z > Zo) = 0.0015 Zo = 2.96
91
 P(|Z| < Zo) = 0.0876 Zo = 0.11
92
 P(|Z| < Zo) = 0.9768 Zo = 2.27
93
 P(|Z| < Zo) = 0.5705 Zo = 0.79
94
 P(|Z| < Zo) = 0.8098 Zo = 1.31
95
 P(|Z| < Zo) = 0.9729 Zo = 2.21
96
 P(|Z| < Zo) = 0.8584 Zo = 1.47
97
 P(|Z| < Zo) = 0.9109 Zo = 1.7
98
 P(|Z| < Zo) = 0.9895 Zo = 2.56
99
 P(|Z| < Zo) = 0.762 Zo = 1.18
100
 P(|Z| < Zo) = 0.2282 Zo = 0.29
101
 P(|Z| < Zo) = 0.9991 Zo = 3.31
102
 P(|Z| < Zo) = 0.5223 Zo = 0.71
103
 P(|Z| < Zo) = 0.9956 Zo = 2.85
104
 P(|Z| < Zo) = 0.994 Zo = 2.75
105
 P(|Z| < Zo) = 0.2434 Zo = 0.31
106
 P(|Z| > Zo) = 0.3125 Zo = 1.01
107
 P(|Z| > Zo) = 0.0032 Zo = 2.95
108
 P(|Z| > Zo) = 0.03 Zo = 2.17
109
 P(|Z| > Zo) = 0.3125 Zo = 1.01
110
 P(|Z| > Zo) = 0.0366 Zo = 2.09
111
 P(|Z| > Zo) = 0.3628 Zo = 0.91
112
 P(|Z| > Zo) = 0.0006 Zo = 3.45
113
 P(|Z| > Zo) = 0.1031 Zo = 1.63
114
 P(|Z| > Zo) = 0.0036 Zo = 2.91
115
 P(|Z| > Zo) = 0.8103 Zo = 0.24
116
 P(|Z| > Zo) = 0.2077 Zo = 1.26
117
 P(|Z| > Zo) = 0.0178 Zo = 2.37
118
 P(|Z| > Zo) = 0.0016 Zo = 3.16
119
 P(|Z| > Zo) = 0.4593 Zo = 0.74
120
 P(|Z| > Zo) = 0.1615 Zo = 1.4
121
 P(Zo > Z) = 0.9898 Zo = 2.32
122
 P(Zo > Z) = 0.8212 Zo = 0.92
123
 P(Zo > Z) = 0.9975 Zo = 2.81
124
 P(Zo > Z) = 0.985 Zo = 2.17
125
 P(Zo > Z) = 0.0102 Zo = -2.32
126
 P(Zo > Z) = 0.8686 Zo = 1.12
127
 P(Zo > Z) = 0.7257 Zo = 0.6
128
 P(Zo > Z) = 0.9952 Zo = 2.59
129
 P(Zo > Z) = 0.0918 Zo = -1.33
130
 P(Zo > Z) = 0.2946 Zo = -0.54
131
 P(Zo > Z) = 0.0021 Zo = -2.86
132
 P(Zo > Z) = 0.791 Zo = 0.81
133
 P(Zo > Z) = 0.0146 Zo = -2.18
134
 P(Zo > Z) = 0.1314 Zo = -1.12
135
 P(Zo > Z) = 0.5636 Zo = 0.16
136
 P(Zo < Z) = 0.9099 Zo = -1.34
137
 P(Zo < Z) = 0.1131 Zo = 1.21
138
 P(Zo < Z) = 0.9938 Zo = -2.5
139
 P(Zo < Z) = 0.504 Zo = -0.01
140
 P(Zo < Z) = 0.3707 Zo = 0.33
141
 P(Zo < Z) = 0.0314 Zo = 1.86
142
 P(Zo < Z) = 0.1922 Zo = 0.87
143
 P(Zo < Z) = 0.1292 Zo = 1.13
144
 P(Zo < Z) = 0.2709 Zo = 0.61
145
 P(Zo < Z) = 0.2296 Zo = 0.74
146
 P(Zo < Z) = 0.2358 Zo = 0.72
147
 P(Zo < Z) = 0.7389 Zo = -0.64
148
 P(Zo < Z) = 0.2546 Zo = 0.66
149
 P(Zo < Z) = 0.9115 Zo = -1.35
150
 P(Zo < Z) = 0.2177 Zo = 0.78
151
 P(-Zo < Z < Zo) = 0.7813 Zo = 1.23
152
 P(-Zo < Z < Zo) = 0.0319 Zo = 0.04
153
 P(-Zo < Z < Zo) = 0.9399 Zo = 1.88
154
 P(-Zo < Z < Zo) = 0.5763 Zo = 0.8
155
 P(-Zo < Z < Zo) = 0.0955 Zo = 0.12
156
 P(-Zo < Z < Zo) = 0.6827 Zo = 1
157
 P(-Zo < Z < Zo) = 0.9929 Zo = 2.69
158
 P(-Zo < Z < Zo) = 0.9762 Zo = 2.26
159
 P(-Zo < Z < Zo) = 0.8385 Zo = 1.4
160
 P(-Zo < Z < Zo) = 0.135 Zo = 0.17
161
 P(-Zo < Z < Zo) = 0.9895 Zo = 2.56
162
 P(-Zo < Z < Zo) = 0.4448 Zo = 0.59
163
 P(-Zo < Z < Zo) = 0.823 Zo = 1.35
164
 P(-Zo < Z < Zo) = 0.9915 Zo = 2.63
165
 P(-Zo < Z < Zo) = 0.6157 Zo = 0.87
166
 P(-0.62 < Z < 1.8) = ___ P value = 0.6964
167
 P(-1.83 < Z < -1.18) = ___ P value = 0.0854
168
 P(2.73 < Z < 3.15) = ___ P value = 0.0024
169
 P(1.5 < Z < 1.76) = ___ P value = 0.0276
170
 P(-2.44 < Z < -0.7) = ___ P value = 0.2346
171
 P(2.38 < Z < 3.09) = ___ P value = 0.0077
172
 P(-0.89 < Z < 0.75) = ___ P value = 0.5866
173
 P(-0.59 < Z < 2.84) = ___ P value = 0.7201
174
 P(0.86 < Z < 1.22) = ___ P value = 0.0837
175
 P(-0.22 < Z < 0.37) = ___ P value = 0.2314
176
 P(2.28 < Z < 2.84) = ___ P value = 0.009
177
 P(2.22 < Z < 2.62) = ___ P value = 0.0088
178
 P(1.94 < Z < 2.85) = ___ P value = 0.024
179
 P(-1.2 < Z < 1.08) = ___ P value = 0.7449
180
 P(-1.17 < Z < 0.15) = ___ P value = 0.4386
181
 P(Zo < Z < -1.5) = 0.0485 Zo = -2.09
182
 P(Zo < Z < 0.35) = 0.2471 Zo = -0.28
183
 P(Zo < Z < 3.43) = 0.0259 Zo = 1.94
184
 P(Zo < Z < 1.25) = 0.7076 Zo = -0.89
185
 P(Zo < Z < 1.24) = 0.8604 Zo = -1.85
186
 P(Zo < Z < 2.88) = 0.0242 Zo = 1.94
187
 P(Zo < Z < 1.81) = 0.0143 Zo = 1.65
188
 P(Zo < Z < 2.59) = 0.0021 Zo = 2.46
189
 P(Zo < Z < 1.33) = 0.1825 Zo = 0.6
190
 P(Zo < Z < 1.61) = 0.9374 Zo = -2.37
191
 P(Zo < Z < 3.18) = 0.2571 Zo = 0.65
192
 P(Zo < Z < 2.54) = 0.0003 Zo = 2.52
193
 P(Zo < Z < 0.07) = 0 Zo = 0.07
194
 P(Zo < Z < 2.49) = 0.9786 Zo = -2.17
195
 P(Zo < Z < 2.26) = 0.0956 Zo = 1.24
196
 P(0.8 < Z < Zo) = 0.199 Zo = 2.23
197
 P(-2.34 < Z < Zo) = 0.3095 Zo = -0.47
198
 P(-1.06 < Z < Zo) = 0.0117 Zo = -1.01
199
 P(0.34 < Z < Zo) = 0.2131 Zo = 1.02
200
 P(-0.4 < Z < Zo) = 0.6441 Zo = 2.28
201
 P(1.35 < Z < Zo) = 0.0647 Zo = 1.98
202
 P(-1.44 < Z < Zo) = 0.0421 Zo = -1.19
203
 P(-1.9 < Z < Zo) = 0.2659 Zo = -0.54
204
 P(-0.4 < Z < Zo) = 0.6521 Zo = 2.71
205
 P(1.8 < Z < Zo) = 0.0224 Zo = 2.21
206
 P(-0.62 < Z < Zo) = 0.3426 Zo = 0.28
207
 P(-2.57 < Z < Zo) = 0.0367 Zo = -1.73
208
 P(-0.07 < Z < Zo) = 0.2402 Zo = 0.56
209
 P(0.97 < Z < Zo) = 0.1654 Zo = 3.24
210
 P(1.75 < Z < Zo) = 0.04 Zo = 3.76

 

Revised March 19, 2002
James P. Geaghan