Construct Confidence Intervals for a Mean Response
-The Data Below $95 \%$

question 75

Multiple Choice

Construct Confidence Intervals for a Mean 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 $95 \%$ confidence interval about the mean value of $y$ , the score on the final exam, given $x = 7$ hours, $\mathrm { y } = 5.044 \mathrm { x } + 56.11$ and $\mathrm { se } = 6.305$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Hours, } \mathrm{x} & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } \mathrm{y} & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$

• A) \(( 82.840,99.996 )\)
• B) \(( 74.54,108.30 )\)
• C) \(( 77.21,110.45 )\)
• D) \(( 79.16,112.34 )\)

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Definitions:

Maintenance Stage

In behavior change models, it refers to the phase where new behavior is sustained over time and relapse is minimized.

Theory of Reasoned Action

A psychological model that predicts behavioral intention across a wide range of behaviors and contexts, focusing on individual attitudes and social norms.

Theory of Planned Behavior

A social psychology theory that predicts an individual's intention to engage in a behavior at a specific time and place, considering attitudes, subjective norms, and perceived control over the behavior.

Perception of Control

The belief or sense that one can influence or manage events and circumstances in one’s life.