An Inventor Has Developed a New Spray Coating That Is

question 24

Multiple Choice

An inventor has developed a new spray coating that is designed to improve the wear of bicycle tires. To test the new coating, the inventor randomly selects one of the two tires on each of 50 bicycles to be coated with the new spray. The bicycle is then driven for 100 miles and the amount of the depth of the tread left on the two bicycle tires is measured (in millimeters) . It is desired to determine whether the new spray coating improves the wear of the bicycle tires. The data and summary information is shown below: $$\begin{array}{l}\begin{array} { c | c | c } \text { Bicycle } & \text { Coated Tire } ( \mathrm { C } ) & \text { Non-Coated Tire } ( \mathrm { N } ) \\\hline 1 & 1.452 & 0.785 \\2 & 1.634 & 0.844 \\\downarrow & \downarrow & \downarrow \\50 & 1.211 & 0.954\end{array}\\\\\begin{array} { l l c c } & \text { Coated } & \text { Non-Coated } & \text { Difference } \\\text { Mean } & 1.38 & 0.85 & 0.53 \\\text { Std. Dev. } & 0.12 & 0.11 & 0.06 \\\text { Sample Size } & 50 & 50 & 50\end{array}\end{array}$$

Use the summary data to calculate the test statistic to determine if the new spray coating improves the mean wear of the bicycle tires.

• A) \(z = 55.26\)
• B) \(z = 34.25\)
• C) \(z = 23.02\)
• D) \(z = 62.46\)

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Definitions:

Striations

The lines or bands found in muscle tissue and certain cell structures, indicative of their molecular organization and function.

Nerve Innervation

The supply of nerves to a specific body part, enabling it to perform its physiological functions through the transmission of sensory and motor signals.

Muscle Tissue

A tissue composed of fibers capable of contracting to effect bodily movement.

Shortens

The process of becoming shorter or contracting, often used in the context of muscle fibers during contractions.