A coach uses a new technique in training middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown below. Athlete A B C D E F G H Time before training (seconds) 111.7 115.2 109.2 117.2 113.9 118.7 115.1 19.4 Time after training (seconds) 113.3 113.9 106.5 119 112.1 118.8 111.6 106.5 Using a 0.05 level of significance, test the claim that the training helps to improve the athletes' times for the 800 meters.

The paired sample t-test, sometimes called the dependent sample t-test, is a statistical procedure…

Answered: A coach uses a new technique in training middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Question

Assume that samples have been randomly selected from normally distributed populations.

A coach uses a new technique in training middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown below.

Athlete	A	B	C	D	E	F	G	H
Time before training (seconds)	111.7	115.2	109.2	117.2	113.9	118.7	115.1	19.4
Time after training (seconds)	113.3	113.9	106.5	119	112.1	118.8	111.6	106.5

Using a 0.05 level of significance, test the claim that the training helps to improve the athletes' times for the 800 meters.

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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