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:

Sarcomeres

The fundamental units of muscle contraction, composed of long, fibrous proteins that slide past each other when muscles contract and relax.

Intercalated Discs

Specialized junctions between cardiac muscle cells that facilitate the synchronized contraction of the heart.

Excitation-Contraction Coupling

The physiological process of converting an electrical stimulus to a mechanical response, essential for muscle contraction.

Action Potential

A rapid and temporary electrical charge that travels along the membrane of a neuron, initiating the transmission of a nerve impulse.