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Use the Runs Test to Determine Whether the Given Sequence

Question 36

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Use the runs test to determine whether the given sequence is random. Use a significance level of 0.05. Test the sequence of digits below for randomness above and below the value of 4.5. 0473609748728573964647916195837857352938\begin{array} { l l l l l l l l l l } 0 & 4 & 7 & 3 & 6 & 0 & 9 & 7 & 4 & 8 \\7 & 2 & 8 & 5 & 7 & 3 & 9 & 6 & 4 & 6 \\4 & 7 & 9 & 1 & 6 & 1 & 9 & 5 & 8 & 3 \\7 & 8 & 5 & 7 & 3 & 5 & 2 & 9 & 3 & 8\end{array}

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