Example 2: Bryan coaches track and field at a local high school and during the previous season he got the impression that his 800m runners performed better when their races were in the morning as opposed to the afternoon. This season, he wanted to determine if his runners in fact performed better in the morning so he recorded all of their times for each race throughout the entire season. The data that he recorded for the morning and afternoon races are shown below. Carry out an appropriate hypothesis test at the a = 0.05 level to determine if his 800m runners performed better in the morning than in the afternoon. Sample Size Standard Deviation Average Morning 38 14 122 Afternoon 54 13 124

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Example 2: Bryan coaches track and field at a local high school and during the previous season
he got the impression that his 800m runners performed better when their races were in the
morning as opposed to the afternoon. This season, he wanted to determine if his runners in fact
performed better in the morning so he recorded all of their times for each race throughout the
entire season. The data that he recorded for the morning and afternoon races are shown below.
Carry out an appropriate hypothesis test at the a = 0.05 level to determine if his 800m runners
performed better in the morning than in the afternoon.
Sample Size
Standard Deviation
Average
Morning
38
14
122
Afternoon
54
13
124
Transcribed Image Text:Example 2: Bryan coaches track and field at a local high school and during the previous season he got the impression that his 800m runners performed better when their races were in the morning as opposed to the afternoon. This season, he wanted to determine if his runners in fact performed better in the morning so he recorded all of their times for each race throughout the entire season. The data that he recorded for the morning and afternoon races are shown below. Carry out an appropriate hypothesis test at the a = 0.05 level to determine if his 800m runners performed better in the morning than in the afternoon. Sample Size Standard Deviation Average Morning 38 14 122 Afternoon 54 13 124
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