Test the Following Sequence of Values for Randomness with Respect $\begin{array} { l l l l l l l l l l l l l l l } 4 & 6 & 3 & 8 & 5 & 9 & 5 & 7 & 3 & 7 & 9 & 1 & 3 & 8 & 6 \end{array}$

question 6

Multiple Choice

Test the following sequence of values for randomness with respect to being above or belowthe median.
$\begin{array} { l l l l l l l l l l l l l l l } 4 & 6 & 3 & 8 & 5 & 9 & 5 & 7 & 3 & 7 & 9 & 1 & 3 & 8 & 6 \end{array}$
Table of Critical Values for the Number of Runs, $\alpha = 0.05$
$\begin{array}{c|cccc}\text { Value of } & {\text { Value of } \boldsymbol{n}_{\mathbf{2}}} \\\boldsymbol{n}_{\mathbf{1}} & \mathbf{4} & \mathbf{5} & \mathbf{6} & \mathbf{7} \\\hline & 2 & 3 & 3 & 3 \\\mathbf{6} & 9 & 10 & 11 & 12 \\& 2 & 3 & 3 & 3 \\\mathbf{7} & 10 & 11 & 12 & 13 \\& 3 & 3 & 3 & 4 \\\mathbf{8} & 10 & 11 & 12 & 13\end{array}$

• A) Do not reject the hypothesis that the sequence is random, because the test value 6 is between the critical values 3 and 13
• B) Reject the hypothesis that the sequence is random, because the test value 6 is between the critical values 3 and 12
• C) Reject the hypothesis that the sequence is random, because the test value 10 is between the critical values 3 and 13
• D) Do not reject the hypothesis that the sequence is random, because the test value 10 is between the critical values 3 and 12