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?
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?
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?
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?
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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