Does 10K running time increase when the runner listens to music? Nine runners were timed as they ran a 10K with and without listening to music. The running times in minutes are shown below.With Music555746414350453938Without Music525443344451453534Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance?The test statistic T = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

Answered: Image /qna-images/answer/5e5d4ea6-72b4-48cf-a9d9-e1923e778036.jpg

Answered: With Music 55 57 46 41 43 50 45 39 38…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Does 10K running time increase when the runner listens to music? Nine runners were timed as they ran a 10K with and without listening to music. The running times in minutes are shown below.

With Music	55	57	46	41	43	50	45	39	38
Without Music	52	54	43	34	44	51	45	35	34

Assume a Normal distribution. What can be concluded at the the αα = 0.01 level of significance?

The test statistic T = (please show your answer to 3 decimal places.)

The p-value = (Please show your answer to 4 decimal places.)

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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