A Running Coach Wanted to See Whether Runners Ran Faster $t$

A running coach wanted to see whether runners ran faster after eating spaghetti the night before. A group of six runners was randomly chosen for this study. Each ran a 5 kilometer race after having a normal dinner the night before, and then a week later, reran the same race after having a spaghetti dinner the night before. The times for their races are shown in the table below. What test value should be used in a $t$ test for these depende samples?
$\begin{array}{l|cccccc} & \text { Runner 1 } & \text { Runner 2 } & \text { Runner 3 } & \text { Runner 4 } & \text { Runner 5 } & \text { Runner } \\\hline \text { Regular Dinner } & 989 \mathrm{~s} & 974 \mathrm{~s} & 998 \mathrm{~s} & 959 \mathrm{~s} & 1005 \mathrm{~s} & 985 \mathrm{~s} \\\text { Spaghetti Dinner } & 982 \mathrm{~s} & 969 \mathrm{~s} & 995 \mathrm{~s} & 958 \mathrm{~s} & 1006 \mathrm{~s} & 988 \mathrm{~s}\end{array}$

A) 1.31
B) 0.53
C) 1.03
D) 2.53

Correct Answer:

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