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 statistic should be used in a test for these samples? Runner Runner 1 Runner 2 Runner 3 Runner 4 Runner 5 Regular Dinner 1019 s 1004 s 1028 s 989 s 1035 s 1015 s Spaghetti 1012 s 999 s 1025 s 988 s 1036 s 1018 s Dinner 2.45 -2.45 O ±1.31 1.31

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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 statistic should be used in a test for these samples?
Runner
Runner 5
6
Runner 1
Runner 2
Runner 3
Runner 4
Regular Dinner 1019 s
1004 s
1028 s
989 s
1035 s
1015 s
Spaghetti
1012 s
999 s
1025 s
988 s
1036 s
1018 s
Dinner
2.45
-2.45
±1.31
O 1.31
Transcribed Image Text: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 statistic should be used in a test for these samples? Runner Runner 5 6 Runner 1 Runner 2 Runner 3 Runner 4 Regular Dinner 1019 s 1004 s 1028 s 989 s 1035 s 1015 s Spaghetti 1012 s 999 s 1025 s 988 s 1036 s 1018 s Dinner 2.45 -2.45 ±1.31 O 1.31
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