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Benford’s Law. According to Benford’s law,

Chapter 11, Problem 24 BSC

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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.

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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:

Solution 24BSC

Using excel, the output for thestatistic is shown below:

Goodness of Fit Test

observed

expected

45

45.150

-0.150

0.000

32

26.400

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