Assume a standardized IQ test exists that possesses a normal distribution and has a mean score of 100 with a standard deviation of 10.What is the probability of selecting someone from the general population at random who would 3. Score 95 or lower?|4. Score 95 or higher? The following is a list of z-scores for two different IQ tests. The table on the LEFT is for an IQtest with a mean score of 100 and a Standard Deviation (SD) of 10. The table on the RIGHTis for an IQ test with a mean score of 100 and a SD of 5.IQ Scorez-Score75 -2.576 -2.477 -2.378 -2.279 -2.180 -2.081 -1.982 -1.883 -1.784 -1.685-1.586 -1.487-1.388 -1.289-1.190 -1.091 -0.992 -0.893 -0.794 -0.695 -0.596 -0.497-0.398 -0.299 -0.1100 0101 0.1102 0.2103 0.3104 0.4105 0.5106 0.6107 0.7108 0.8109 0.9110 1.0111 1.1112113 1.3114 1.4115 1.5IQ Score75767778798081828384858687888990919293949596979899100101102103104105106107108109110111113114115z-Score-5.0-4.8-4.6-4.4-4.2-4.0-3.8-3.6-3.4-3.2-3.0-2.8-2.6-2.4-2.2-2.0-1.8-1.6-1.4-1.2-1.0-0.8-0.6-0.4-0.200.20.40.60.81.01.21.41.61.82.02.22.42.6№2.83.0

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Answered: 3. Score 95 or lower? T 4. Score 95 or…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 10.

What is the probability of selecting someone from the general population at random who would

3. Score 95 or lower?
|
4. Score 95 or higher?

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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