Changes in the earth's rotation are exceedingly small. However, a very long-term trend could be important. (Reference: Journal of Astronomy , Vol. 57, pp XXXXXXXXXXLet I represent an increase and D a...


Changes in the earth's rotation are exceedingly small. However, a very long-term trend could be important. (Reference:
Journal of Astronomy, Vol. 57, pp. 125-146.) Let I represent an increase and D a decrease in the rate of the earth's rotation. The following sequence represents historical increases and decreases measured every consecutive fifth year.





































DDDDDDIIDDDDDIIIIIIIIIIDIIIII


Test the sequence for randomness. Use ? = 0.05.


(a) What is the level of significance?


(b) Find the sample test statistic
R, the number of runs.


(c) Find the upper and lower critical values in the Critical Values for Number of Runs R table.


Jun 09, 2022
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