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The accompanying data flle shows matched-pairs observations for a before-and-after experiment. Assume that the sample differences are normally distributed. (You may find it useful to reference the appropriate table: ztable or $t$ table) Hint. The differences are calculated as Xbefore - Xafter: a. Construct the competing hypotheses to determine if the experiment increases the value of the observations $H_{0}:μ_{D}=8;H_{A}:μ_{D}<θH_{0}:H_{D}≥θ;H_{A}:μ_{D}<θH_{0}:H_{D}=8;H_{A}:H_{D}>e $
Observatic Before After \begin{tabular}{rrr} 1 & 2.5 & 2.9 \\ \hline 2 & 1.8 & 3.1 \\ \hline 3 & 1.4 & 3.9 \\ \hline 4 & -2.9 & -1.8 \\ \hline 5 & 1.2 & 0.2 \\ \hline 6 & -1.9 & 0.6 \\ \hline 7 & -3.1 & -2.5 \\ \hline 8 & 2.5 & 2.9 \end{tabular}

From the given table we need to calculate the following table,

Mean and Standard deviation for differ...

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