Use the Runs Test to Determine Whether the Given Sequence

question 6

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

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Definitions:

Alternative Fuels

Fuels other than fossil fuels, often produced from renewable resources, used to power vehicles and machinery.

Economically Viable

Capable of generating sufficient income to cover expenses and produce a profit.

Nonrenewable Natural Resources

Natural resources that do not replenish at a sustainable rate within a human lifetime, such as fossil fuels, minerals, and metals.

Productive Inputs

The resources used in the production of goods and services, including labor, capital, and raw materials.