The accompanying data table lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. The accompanying technology results are obtained when testing for goodness-of-fit with the distribution described by Benford's law, and H0 is rejected. What does this result suggest about the possibility that the computer has been hacked? Is there any corrective action that should be taken? Leading Digit 1 2 3 4 5 6 7 8 9 Benford's Law 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% Leading Digits of Inter-Arrival Traffic Times 76 62 29 33 19 27 28 21 22 Test Statistic, X^2: 20.9222 Critical X^2: 15.5073 P-Value: 0.0074 Because the leading digits of inter-arrival traffic times ▼ (fit or do not fit) the distribution described by Benford's law, it appears that those times ▼ (are not or are) typical. There is ▼ (a good chance or very little chance) that the computer has been hacked. Corrective action ▼ (is not or is) needed.
The accompanying data table lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. The accompanying technology results are obtained when testing for goodness-of-fit with the distribution described by Benford's law, and H0 is rejected. What does this result suggest about the possibility that the computer has been hacked? Is there any corrective action that should be taken? Leading Digit 1 2 3 4 5 6 7 8 9 Benford's Law 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% Leading Digits of Inter-Arrival Traffic Times 76 62 29 33 19 27 28 21 22 Test Statistic, X^2: 20.9222 Critical X^2: 15.5073 P-Value: 0.0074 Because the leading digits of inter-arrival traffic times ▼ (fit or do not fit) the distribution described by Benford's law, it appears that those times ▼ (are not or are) typical. There is ▼ (a good chance or very little chance) that the computer has been hacked. Corrective action ▼ (is not or is) needed.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question
The accompanying data table lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. The accompanying technology results are obtained when testing for goodness-of-fit with the distribution described by Benford's law, and H0 is rejected. What does this result suggest about the possibility that the computer has been hacked? Is there any corrective action that should be taken?
|
Leading Digit
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
|---|---|---|---|---|---|---|---|---|---|
|
Benford's Law
|
30.1%
|
17.6%
|
12.5%
|
9.7%
|
7.9%
|
6.7%
|
5.8%
|
5.1%
|
4.6%
|
|
Leading Digits of Inter-Arrival Traffic Times
|
76
|
62
|
29
|
33
|
19
|
27
|
28
|
21
|
22
|
|
Test Statistic, X^2:
|
20.9222
|
|---|---|
|
Critical X^2:
|
15.5073
|
|
P-Value:
|
0.0074
|
Because the leading digits of inter-arrival traffic times ▼ (fit or do not fit) the distribution described by Benford's law, it appears that those times ▼ (are not or are) typical. There is ▼ (a good chance or very little chance) that the computer has been hacked. Corrective action ▼ (is not or is) needed.
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