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Description: 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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