Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 25PFA
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Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 5

The following is a list of z-scores for two different IQ tests. The table on the LEFT is for an IQ
test with a mean score of 100 and a Standard Deviation (SD) of 10. The table on the RIGHT
is for an IQ test with a mean score of 100 and a SD of 5.
IQ Score
z-Score
75 -2.5
76 -2.4
77 -2.3
78 -2.2
79 -2.1
80 -2.0
81 -1.9
82 -1.8
83 -1.7
84 -1.6
85
-1.5
86 -1.4
87
-1.3
88 -1.2
89
-1.1
90 -1.0
91 -0.9
92 -0.8
93 -0.7
94 -0.6
95 -0.5
96 -0.4
97
-0.3
98 -0.2
99 -0.1
100 0
101 0.1
102 0.2
103 0.3
104 0.4
105 0.5
106 0.6
107 0.7
108 0.8
109 0.9
110 1.0
111 1.1
112
113 1.3
114 1.4
115 1.5
IQ Score
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
113
114
115
z-Score
-5.0
-4.8
-4.6
-4.4
-4.2
-4.0
-3.8
-3.6
-3.4
-3.2
-3.0
-2.8
-2.6
-2.4
-2.2
-2.0
-1.8
-1.6
-1.4
-1.2
-1.0
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
2.2
2.4
2.6
№
2.8
3.0
Transcribed Image Text:The following is a list of z-scores for two different IQ tests. The table on the LEFT is for an IQ test with a mean score of 100 and a Standard Deviation (SD) of 10. The table on the RIGHT is for an IQ test with a mean score of 100 and a SD of 5. IQ Score z-Score 75 -2.5 76 -2.4 77 -2.3 78 -2.2 79 -2.1 80 -2.0 81 -1.9 82 -1.8 83 -1.7 84 -1.6 85 -1.5 86 -1.4 87 -1.3 88 -1.2 89 -1.1 90 -1.0 91 -0.9 92 -0.8 93 -0.7 94 -0.6 95 -0.5 96 -0.4 97 -0.3 98 -0.2 99 -0.1 100 0 101 0.1 102 0.2 103 0.3 104 0.4 105 0.5 106 0.6 107 0.7 108 0.8 109 0.9 110 1.0 111 1.1 112 113 1.3 114 1.4 115 1.5 IQ Score 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 113 114 115 z-Score -5.0 -4.8 -4.6 -4.4 -4.2 -4.0 -3.8 -3.6 -3.4 -3.2 -3.0 -2.8 -2.6 -2.4 -2.2 -2.0 -1.8 -1.6 -1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 № 2.8 3.0
17. What is the z score for an IQ score of 92?
You will now need to use Table A2 in your text to answer the following questions. What is the
probability of selecting someone from the general population at random who would:
18. Score between 92 and 100?
Transcribed Image Text:17. What is the z score for an IQ score of 92? You will now need to use Table A2 in your text to answer the following questions. What is the probability of selecting someone from the general population at random who would: 18. Score between 92 and 100?
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