7 Leading Digit Benford's Law: Distribution of Leading Digits 9. 6. 7.9% 6.7% 5.8% 5.1% 4.6% 17.6% 12.5% 9.7% 30.1% 00 2.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 7Q
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Benford’s Law. According to Benford’s law, a variety of different data sets include numbers with leading (first) digits that follow the distribution shown in the table below. In Exercises 21–24, test for goodness-of-fit with the distribution described by Benford’s law.

Author’s Computer Files The author recorded the leading digits of the sizes of the electronic document files for the current edition of this book. The leading digits have frequencies of 55, 25, 17, 24, 18, 12, 12, 3, and 4 (corresponding to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively). Using a 0.05 significance level, test for goodness-of-fit with Benford’s law.

7
Leading Digit
Benford's Law: Distribution
of Leading Digits
9.
6.
7.9% 6.7% 5.8% 5.1% 4.6%
17.6% 12.5% 9.7%
30.1%
00
2.
Transcribed Image Text:7 Leading Digit Benford's Law: Distribution of Leading Digits 9. 6. 7.9% 6.7% 5.8% 5.1% 4.6% 17.6% 12.5% 9.7% 30.1% 00 2.
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