Provide an Appropriate Response $95 \%$ Prediction Interval For $y$ , the Score on the Final Exam, Given

question 18

Multiple Choice

Provide an appropriate response.
-The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they slept the night before the exam. Construct a $95 \%$ prediction interval for $y$ , the score on the final exam, given $x = 7$ hours, $\hat {y} = 5.044 x + 56.11$ and $s _ { e } = 6.305$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Hours, } x & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } y & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$

• A) \(( 74.54,108.30 )\)
• B) \(( 55.43,78.19 )\)
• C) \(( 77.21,110.45 )\)
• D) \(( 82.840,99.996 )\)

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Definitions:

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, responsible for integrating sensory information and responding accordingly.

Neural Tissue

Neural tissue refers to the specialized cells and biological material that make up the nervous system, including the brain, spinal cord, and nerves, facilitating the transmission of electrical signals throughout the body.

Colour Vision

The ability of the eye and brain to perceive differences in wavelengths of light, enabling humans and other animals to see a variety of colors.

Defective Receptors

Abnormal proteins on the surface of cells that impair the cell's ability to respond to stimuli.