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Sgt. Samuel H. Buckstein edited Results and Discussion.tex
about 10 years ago
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\end{table}
\subsection{Shooting Time vs. Distance}
\subsubsection{10 \subsubsection{Comparing Shooting Time at 10 m
to vs. 20 m}
An F-test was conducted and it was found that the p-value was greater than the alpha-significance level of 0.05, correlating with equal variances.
A paired t-test was conducted because the same set of people participated at 10 m and 20 m, and the p-value was found to be less than the significance level. The means are therefore unequal, with a shooting time that was faster at 10m. The alternate hypothesis was therefore accepted over the null hypothesis.
\subsubsection{20 \subsubsection{Comparing Shooting Time at 20 m
to vs. 30 m}
Using an F-test it was found that the p-value was greater than the significance level, therefore the variances are assumed to be equal between the two sets of data.
Participants did not all fire at 20 m and 30 m, therefore a two-sample t-test was used instead of a paired t-test.
It was found that the p-value was greater than the significance level, corresponding with equal means. This means that shooting time was the same at both distances. The result is fail to reject the null hypothesis.
\subsubsection{10 \subsubsection{Comparing Shooting Time at 10 m
to vs. 30 m}
An F-test was conducted and it was found that the p-value was greater than the significance level of 0.05, corresponding with equal variances.
Participants did not all fire at
10m 10 m and 30m, so a two-sample t-test was used instead of a paired t-test.
It was found that the p-value was lower than the significance level. The mean at 10 m was less than the mean at 30 m, meaning that shooting time was faster at 10 m. Therefore the null hypothesis was rejected in favor of the alternate hypothesis.
\subsection{Summary}