The accompanying Statdisk results shown in the margin are obtained from the data given in Exercise 1.

Question:

The accompanying Statdisk results shown in the margin are obtained from the data given in Exercise 1. What should be concluded when testing the claim that the leading digits have a distribution that fits well with Benford’s law?

Data From Exercise 1:

The table below 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 (from Table 11-1 in the Chapter Problem).

a. Identify the notation used for observed and expected values.
b. Identify the observed and expected values for the leading digit of 2.
c. Use the results from part (b) to find the contribution to the x2 test statistic from the category representing the leading digit of 2.

Table 11-1:

Leading Digit Benford's Law Leading Digits of Inter-Arrival Traffic Times 1 30.1% 76 2 17.6% 62 3 4 5 6 12.5%


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Mathematical Interest Theory

ISBN: 9781470465681

3rd Edition

Authors: Leslie Jane, James Daniel, Federer Vaaler

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