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

question 105

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

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Definitions:

Mineral-Based Lubricants

Lubricants derived from mineral oils used to reduce friction and wear in machinery and engines.

Lubricity

The property of a substance that reduces friction between surfaces in motion.

Boil Temperatures

The temperatures at which liquids change to gases, varying with the atmospheric pressure and the chemical composition of the liquid.

Ring Gear Tooth

A tooth on the outer edge of a ring gear, engaged by the pinion gear to transmit torque in a differential.