A personal trainer states that the distribution of running times (in seconds) for a 100-meter dash is normally distributed with a mean of 0.12 seconds and a standard deviation equal to 0.04 seconds. She wishes to improve running time by incorporating a set of breathing exercises into the daily workout. She randomly assigns some players to the new regimen in order to compare them to players who continue to follow the old workout. After six weeks, she records the average running time of the two groups of players. a. In the original distribution, what percentage of the players on the team run the 100-meter dash faster than 0.16 seconds?b. Define the independent and dependent variables.c. The personal trainer believes that the new breathing exercises have a significant improvement on running times. State the null and alternative hypotheses.

Name: A personal trainer states that the distribution of running times (in s
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Description: A personal trainer states that the distribution of running times (in seconds) for a 100-meter dash is normally distributed with a mean of 0.12 seconds and a standard deviation equal to 0.04 seconds. She wishes to improve running time by incorporating

Let X be a continuous random variable of of running times (in seconds) for a 100-meter dash is…

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A personal trainer states that the distribution of running times (in seconds) for a 100-meter dash is normally distributed with a mean of 0.12 seconds and a standard deviation equal to 0.04 seconds. She wishes to improve running time by incorporating a set of breathing exercises into the daily workout. She randomly assigns some players to the new regimen in order to compare them to players who continue to follow the old workout. After six weeks, she records the average running time of the two groups of players.

a. In the original distribution, what percentage of the players on the team run the 100-meter dash faster than 0.16 seconds?

b. Define the independent and dependent variables.

c. The personal trainer believes that the new breathing exercises have a significant improvement on running times. State the null and alternative hypotheses.

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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