Answered: The researcher is interested in whether…

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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The researcher is interested in whether the level of pain tolerance is the same in the sample of male and female patients. To investigate this problem, during the same medical procedure, the researcher requested males and females to assess their level of pain (0 – feel nothing; 100 – the worst pain ever). In the sample of 16 females, the average score was 65, with a standard deviation of 13.5. In the sample of 25 males, the average score was 82, with a standard deviation of 12. Test a hypothesis that pain scores are equal for male and female patients. Assume that two samples are independent, have an approximately normal distribution, and have equal variance. Assume alpha = 0.20.

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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