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Goodness-of-Fit: Conduct the specified goodness-of-fit test. Benford's Law states the probability distribution (below) of the first significant digit in a number. Digit Probability 1 3 4 5 6 7 8 9 2 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 The Fibonacci Sequence, found in the number of pedals on a pine cone, the number of seeds on a sun- flower and many other places in nature is 1, 1, 2, 3, 5, 8, 13, 21... The next number in the sequence is found by summing up the previous two numbers. The distribution of the first significant digit of the first 85 numbers in the sequence is below. Does this distribution follow to Benford's Law? [Hint: Goodness of Fit] Digit 1 2 3 Frequency 25 16 11 4 5 6 7 8 9 7 7 5 46

Goodness-of-Fit: Conduct the specified goodness-of-fit test. Benford's Law states the probability distribution (below) of the first significant digit in a number. Digit Probability 1 3 4 5 6 7 8 9 2 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 The Fibonacci Sequence, found in the number of pedals on a pine cone, the number of seeds on a sun- flower and many other places in nature is 1, 1, 2, 3, 5, 8, 13, 21... The next number in the sequence is found by summing up the previous two numbers. The distribution of the first significant digit of the first 85 numbers in the sequence is below. Does this distribution follow to Benford's Law? [Hint: Goodness of Fit] Digit 1 2 3 Frequency 25 16 11 4 5 6 7 8 9 7 7 5 46

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 46E
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Goodness-of-Fit: Conduct the specified goodness-of-fit test. Benford's Law states the probability distribution (below) of the first significant digit in a number. 1 2 3 4 5 6 7 8 9 Digit Probability 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 The Fibonacci Sequence, found in the number of pedals on a pine cone, the number of seeds on a sun- flower and many other places in nature is 1, 1, 2, 3, 5, 8, 13, 21...The next number in the sequence is found by summing up the previous two numbers. The distribution of the first significant digit of the first 85 numbers in the sequence is below. Does this distribution follow to Benford's Law? [Hint: Goodness of Fit] Digit 1 2 16 Frequency 25 3 11 4 5 6 7 A 775 4 8 9
Transcribed Image Text:Goodness-of-Fit: Conduct the specified goodness-of-fit test. Benford's Law states the probability distribution (below) of the first significant digit in a number. 1 2 3 4 5 6 7 8 9 Digit Probability 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 The Fibonacci Sequence, found in the number of pedals on a pine cone, the number of seeds on a sun- flower and many other places in nature is 1, 1, 2, 3, 5, 8, 13, 21...The next number in the sequence is found by summing up the previous two numbers. The distribution of the first significant digit of the first 85 numbers in the sequence is below. Does this distribution follow to Benford's Law? [Hint: Goodness of Fit] Digit 1 2 16 Frequency 25 3 11 4 5 6 7 A 775 4 8 9
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