Construct Confidence Intervals for a Mean Response
-In an Area $95 \%$

question 30

Multiple Choice

Construct Confidence Intervals for a Mean Response
-In an area of Russia, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre) . Construct a $95 \%$ confidence interval about the mean value of $y$ , the yield, given $x = 11$ inches, $\mathrm { y } = 4.379 \mathrm { x } + 4.267$ and $\mathrm { se } _ { \mathrm { e } } = 3.529$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Rainfall (in inches) , } \mathrm{x} & 10.5 & 8.8 & 13.4 & 12.5 & 18.8 & 10.3 & 7.0 & 15.6 & 16.0 \\\hline \text { Yield (bushels per acre) , } \mathrm{y} & 50.5 & 46.2 & 58.8 & 59.0 & 82.4 & 49.2 & 31.9 & 76.0 & 78.8\end{array}$

• A) \(( 49.41,55.47 )\)
• B) \(( 43.56,61.32 )\)
• C) \(( 40.54,64.15 )\)
• D) \(( 39.86,65.98 )\)

---

Definitions:

Authoritative

A parenting style characterized by a combination of high responsiveness and high demands, balancing nurturing support with clear rules.

Gender Norm

Societal rules and expectations that dictate appropriate behavior, roles, and activities based on an individual's perceived sex or gender identity.

Gender Identity

The personal sense of one’s own gender, which may or may not correspond with the sex assigned at birth.

Self-Concept

An individual's perception of self, encompassing beliefs, feelings, and thoughts about one's abilities, appearance, and personality.