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Name: A study was conducted to determine whether magnets were effective in t
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Description: A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal

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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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets.

n x s

Sham 20 0.41 1.27

Magnet 20 0.49 0.93

Identify the test statistic.

(Round to two decimal places as needed.)

Use technology to identify the P-value.

(Round to three decimal places as needed.)

What is the conclusion for this hypothesis test?

fail to reject/reject?

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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