Use the Runs Test to Determine Whether the Given Sequence

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. $$\begin{array} { | c c c c c c c c c c | } \hline 94 & 96 & 97 & 99 & 95 & 90 & 97 & 98 & 100 & 100 \\92 & 95 & 98 & 99 & 102 & 97 & 97 & 101 & 99 & 100 \\98 & 95 & 93 & 99 & 101 & 99 & 101 & 100 & 99 & 103 \\\hline\end{array}$$