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

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) $3.8 \mathrm {~min} < \mu \mathrm { X } - \mu \mathrm { Y } < 4.8 \mathrm {~min}$