Use the Runs Test to Determine Whether the Given Sequence

question 47

Essay

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. $$\begin{array} { l l l l l l l l l l } 0 & 4 & 7 & 3 & 6 & 0 & 9 & 7 & 4 & 8 \\7 & 2 & 8 & 5 & 7 & 3 & 9 & 6 & 4 & 6 \\4 & 7 & 9 & 1 & 6 & 1 & 9 & 5 & 8 & 3 \\7 & 8 & 5 & 7 & 3 & 5 & 2 & 9 & 3 & 8\end{array}$$