Independent Random Samples Selected from Two Normal Populations Produced the Following

question 52

Essay

Independent random samples selected from two normal populations produced the following sample means and standard deviations.
$\begin{array}{ll}\text { Sample 1 } & \text { Sample 2 } \\n_{1}=14 & n_{2}=11 \\\bar{x}_{1}=7.1 & \bar{x}_{2}=8.4 \\s_{1}=2.3 & s_{2}=2.9\end{array}$

Find and interpret the $95 \%$ confidence interval for $\left( \mu _ { 1 } - \mu _ { 2 } \right)$ .

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Definitions:

Irritable

A state of being easily annoyed or angered, often resulting from stress or discomfort.

Easy Temperamental Style

Refers to an individual's innate emotional and behavioral disposition that is determined to be naturally positive and relaxed.

Frustration

A feeling of irritation or annoyance due to the inability to achieve a goal or satisfy a need.

Sleep Schedule

The habitual pattern of sleeping and waking times, which can influence overall health and well-being.