Answered: a.) us a 0.05 signfigance level to test…

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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Question

Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham or (placebo) group. The results are a measurement of the reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviation are equal.

M1 (treatment ) M2( sham)

n=29 n=20

x bar=0.55 x bar=0.39

s= 0.84 s=1.31

a.) us a 0.05 signfigance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment

1. Write a null hypothesis and alternative hypothesis

2. What is the test statistic?

3. What is the P-Value?

4. State the conclusion to the test.

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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