Twenty-four girls in Grades 9 and 10 are put on a training program. Their time for a 40-yard dash is recorded before and after participating in a training program. The differences between the before-training time and the after-training time for those 24 girls are measured, so that positive difference values represent improvement in the 40-yard dash time. Suppose that the values of those differences follow a normal distribution and they have a sample mean 0.079 min and a sample standard deviation 0.255 min. We conduct a statistical test to check whether this training program can reduce the mean finish time of 40-yard dash. What is the range of p-value for this test?

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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Twenty-four girls in Grades 9 and 10 are put on a training program. Their time for a 40-yard
dash is recorded before and after participating in a training program. The differences between
the before-training time and the after-training time for those 24 girls are measured, so that
positive difference values represent improvement in the 40-yard dash time. Suppose that the
values of those differences follow a normal distribution and they have a sample mean 0.079 min
and a sample standard deviation 0.255 min. We conduct a statistical test to check whether this
training program can reduce the mean finish time of 40-yard dash. What is the range of p-value
for this test?
Transcribed Image Text:Twenty-four girls in Grades 9 and 10 are put on a training program. Their time for a 40-yard dash is recorded before and after participating in a training program. The differences between the before-training time and the after-training time for those 24 girls are measured, so that positive difference values represent improvement in the 40-yard dash time. Suppose that the values of those differences follow a normal distribution and they have a sample mean 0.079 min and a sample standard deviation 0.255 min. We conduct a statistical test to check whether this training program can reduce the mean finish time of 40-yard dash. What is the range of p-value for this test?
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