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The Fibonacci sequence of numbers occurs in various scientific contexts. The first two numbers in the sequence are 1,1. Then every succeeding number is the sum of the two previous numbers: The first digit of any number in this sequence can be 1, 2, . . . , or 9. The frequencies of first digits for the first 85 numbers in the sequence are as follows: 25 (1's), 16 (2's), 11, 7, 7, 5, 4, 6, 4. Does the distribution of first digits in the Fibonacci sequence appear to be consistent with the Benford's Law distribution described in Exercise 21 of Chapter 3? State and test the relevant hypotheses.
Exercise 21
The article from which the data in Exercise 20 was obtained also gave the accompanying data on the composite mass/outer fabric mass ratio for high-quality fabric specimens
Minitab gave r =.9852 as the value of the Ryan-Joiner test statistic and reported that P-value .>10. Would you use the one-sample t test to test hypotheses about the value of the true average ratio? Why or why not
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