Determine Whether the Samples Are Independent or Dependent Construct A $95 \%$

question 30

Multiple Choice

Determine whether the samples are independent or dependent.
-Two types of flares are tested and their burning times are recorded. The summary statistics are given below. $\begin{array}{|ll|}\hline \frac{\text { Brand } \mathrm{X}}{\mathrm{n}=35} & \underline{\text { Brand } \mathrm{Y}} \\\overline{\mathrm{x}}=19.4 \mathrm{~min} & \overline{\mathrm{x}}=15.1 \mathrm{~min} \\\mathrm{~s}=1.4 \mathrm{~min} & \mathrm{~s}=0.8 \mathrm{~min} \\\hline\end{array}$

Construct a $95 \%$ confidence interval for the differences between the mean burning time of the brand $X$ flare and the mean burning time of the brand $Y$ flare.

• A) \(3.5 \mathrm {~min} < \mu \mathrm { X } - \mu \mathrm { Y } < 5.1 \mathrm {~min}\)
• B) \(3.2 \mathrm {~min} < \mu \mathrm { X } = \mu \mathrm { Y } < 5.4 \mathrm {~min}\)
• C) \(3.6 \mathrm {~min} < \mu \mathrm { X } - \mu \mathrm { Y } < 5.0 \mathrm {~min}\)
• D) \(3.8 \mathrm {~min} < \mu \mathrm { X } - \mu \mathrm { Y } < 4.8 \mathrm {~min}\)

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Definitions:

Past Epochs

Past periods or ages in history characterized by distinctive features or events, often used to discuss the evolution of societies or civilizations.

Ideal Type

A conceptual tool used in sociology, created by Max Weber, that serves as a model for understanding social phenomena by emphasizing the most significant characteristics, often to compare real situations against an idealized or pure form.

Structural

Related to the underlying or organizing framework of a system, often used in contexts such as sociology, engineering, and architecture.

Symbolic Interactionism

A theoretical framework in sociology that emphasizes how individuals create and modify their social reality through interaction, based on the interpretation of symbols.