Use the Runs Test to Determine Whether the Given Sequence $\begin{array} { l l l l l l l l l } 94 & 96 & 97 & 99 & 95 & 90 & 97 & 98 & 100 \end{array}$

Essay

Use the runs test to determine whether the given sequence is random. Use a significance level_
of 0.05. The sequence of numbers below represents the maximum temperature (in degrees
Fahrenheit)in July in one U.S. town for 30 consecutive years. Test the sequence for
randomness above and below the median. $\begin{array} { l l l l l l l l l } 94 & 96 & 97 & 99 & 95 & 90 & 97 & 98 & 100 \end{array}$
$\begin{array} { l l l l l l c c c c } 92 & 95 & 98 & 99 & 102 & 97 & 97 & 101 & 99 & 100 \\ 98 & 95 & 93 & 99 & 101 & 99 & 101 & 100 & 99 & 103 \end{array}$
$\begin{array} { l c c c c c c c c c } 94 & 96 & 97 & 99 & 95 & 90 & 97 & 98 & 100 & 100 \\ 92 & 95 & 98 & 99 & 102 & 97 & 97 & 101 & 99 & 100 \\ 98 & 95 & 93 & 99 & 101 & 99 & 101 & 100 & 99 & 103 \end{array}$
$\begin{array} { l l l l l l l l l l } 98 & 95 & 93 & 99 & 101 & 99 & 101 & 100 & 99 & 103 \end{array}$