Answered: obstacle Course Times An obstacle…

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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obstacle Course Times An obstacle course was set up on a campus, and 11 volunteers were given a chance to complete it while they were being timed. They then sampled a new energy drink and were given the opportunity to run the course again. The "before" and "after" times in seconds are shown below. Is there sufficient evidence at α= 0.05 to conclude that the students did better the second time? Assume the variables are normally distributed.

Student	1	2	3	4	5	6	7	8	9	10	11
Before	70	78	82	75	69	68	76	81	77	67	72
After	65	75	78	68	65	70	73	76	73	68	70

Compute the test value. Round the sample statistics and final answer to at least three 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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