Answered: A study was conducted to investigate…

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 investigate the effectiveness of hypnotism in reducing pain. Results for 8 randomly selected subjects are shown in the data below.
Subject: A, B, C, D, E, F, G, H
Before: 6.6, 6.5, 9.0, 10.3, 11.3, 8.1, 6.3, 11.6
After: 6.8, 2.4, 7.4, 8.5, 8.1, 6.1, 3.4, 2.0
A lower score indicates less pain. The "before" value is matched to
an "after" value and the differences are calculated. The differences have a normal distribution. Are the sensory measurements, on average, lower after hypnotism?
Test at a 5% significance level.

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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