Construct Confidence Intervals for a Mean Response
-Construct A $95 \%$

question 23

Multiple Choice

Construct Confidence Intervals for a Mean Response
-Construct a $95 \%$ confidence interval about the mean value of $y$ , given $x = - 3.5 , \hat { y } = 2.097 x - 0.552$ and $s _ { e } = 0.976$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\mathrm{x} & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\\hline \mathrm{y} & -10 & -8 & 9 & 1 & -2 & -6 & -1 & 3 & 6 & -8\end{array}$

• A) \(( - 8.921 , - 6.862 )\)
• B) \(( - 10.367 , - 5.417 )\)
• C) \(( - 4.598 , - 1.986 )\)
• D) \(( - 12.142 , - 6.475 )\)

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Definitions:

Agency Sponsorship

Support or endorsement from an organization, often financial or resource-based, for activities or projects.

Funding

The act of providing financial resources, typically by an organization or government, to support a project, program, or venture.

Temperate Phrasing

The use of moderate and balanced language to express ideas or opinions, avoiding extreme or provocative terms.

Provoke

To stimulate or incite someone to action or feeling, often with the intent of eliciting a specific reaction.