Construct a Confidence Interval For $\mu _ { d }$ The Mean of the Differences D for the The Mean

question 53

Multiple Choice

Construct a confidence interval for $\mu _ { d }$ the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed. Using the sample paired data below, construct a 90 % confidence interval for the population mean of all differences.
$\begin{array} { l | l l l l l } \mathrm { A } & 5.0 & 5.1 & 4.6 & 3.5 & 6.0 \\\hline \mathrm { B } & 4.7 & 3.9 & 4.2 & 4.2 & 3.7\end{array}$

• A) \(0.22 < \mu _ { d } < 7.48\)
• B) \(- 0.37 < \mu _ { d } < 1.77\)
• C) \(- 0.07 < \mu _ { d } < 1.47\)
• D) \(- 0.31 < \mu _ { d } < 1.71\)

---

Definitions:

Personality Factors

Traits or characteristics that consistently influence the way an individual behaves, feels, and thinks.

Aggressive Behavior

Actions intended to harm or intimidate others, driven by anger or hostility.

Low Levels

A term which in general use can refer to decreased, minimal, or insufficient amounts of a specified entity or quality, applicable in various contexts such as energy, interest, or resources.

Hostility

Aggressive behavior or attitudes often stemming from anger or antagonism towards others.