Use the Runs Test to Determine Whether the Given Sequence

question 41

Essay

Use the runs test to determine whether the given sequence is random. Use a significance level of 0.05. A sample
of 30 clock radios is selected in sequence from an assembly line. Each radio is examined and judged to be
acceptable (A) or defective (D). The results are shown below. Test for randomness. $$\begin{array} { | l l l l l l l l l l | } \hline \mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { D } \\\mathrm { A } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { A } \\\mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { D } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { A } & \mathrm { D } & \mathrm { A } \\\hline\end{array}$$

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Definitions:

OBD II

On-Board Diagnostics II, a standardized system in vehicles that monitors and reports on the status of various vehicle subsystems.

OBD II

On-Board Diagnostics, second generation; a standardized system that allows electronic access to a vehicle's diagnostic information.

Malfunctions

Failures or dysfunctions in a system, equipment, or part, often causing it to operate incorrectly or not at all.

Emissions

Pollutants released into the air from sources such as vehicles, factories, and power plants, often regulated to protect environmental and public health.