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Benford’s Law. According to Benford’s law,
Chapter 11, Problem 24 BSC(choose chapter or problem)
Problem 24BSC
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 Exercise, test for goodness-offit with Benford’s law.
Leading Digit |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Benford’s Law: Distribution of Leading Digits |
30.1% |
17.6% |
12.5% |
9.7% |
7.9% |
6.7% |
5.8% |
5.1% |
4.6% |
Author’s Computer Files The author recorded the leading digits of the sizes of the files stored on his computer, and the leading digits have frequencies of 45, 32, 18, 12, 9, 3, 13, 9, and 9 (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.
Questions & Answers
QUESTION:
Problem 24BSC
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 Exercise, test for goodness-offit with Benford’s law.
Leading Digit |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Benford’s Law: Distribution of Leading Digits |
30.1% |
17.6% |
12.5% |
9.7% |
7.9% |
6.7% |
5.8% |
5.1% |
4.6% |
Author’s Computer Files The author recorded the leading digits of the sizes of the files stored on his computer, and the leading digits have frequencies of 45, 32, 18, 12, 9, 3, 13, 9, and 9 (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.
ANSWER: