05 statistics for traffic engineering (traffic engineering هندسة المرور & prof. saad...
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CE 436 Traffic Engineering
Topic 4: Statistics for Traffic Engineers
(Chapter 7)
Prof. Saad AlGadhi
CE 436 –Traffic Engineering
King Saud University
email: [email protected]
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Figure 7.1 The Normal Distribution
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x N [ , 2 ]
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z N [ 0, 1]
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Figure 7.2 Shifting the Normal Distribution to the Standard Normal Distribution (Spot Speed)
x N [ 55, 49 ]
= 55 mph
= 7 mph
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Examples p. 127
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Table 7.3 The Standard Normal Distribution
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Table 7.3 (continued) The Standard Normal Distribution
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Figure 7.1 The Normal Distribution
p ( ± 1.00) = 68.27 %
p ( ± 1.96) = 95.0 %
p ( ± 2.00) = 95.45 %
p ( ± 3.00) = 99.73 %
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Confidence Intervals (Bounds)
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Example
Consider the spot speed data of Table 10.3 (p. 210) The computed mean was 48.1 mph and the computed standard deviation was 4.95 mph.
Consider the following hypothesis:
Ho, the underlying distribution is normal with =48.1 mph and =4.95 mph. See Table 10.3 (page 210)
N=12 categories, f=N-1-g=12-1-2=9 (# of degrees of freedom), =0.05, 2=16.92 (from Table 7.11, p.145)
Computed 2=14.3574<16.92 == > cannot reject Ho
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Required Reading
Ch. 7: Statistical Applications in Traffic Engineering
All sections
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HW # 3
Problems #:
7-1
7-2
7-3 (a & b only)
Due: Next Wednesday
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