Answered: Test the given claim using the α=0.05…

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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Test the given claim using the α=0.05 significance level and assuming that the populations are normally distributed.
Claim: The treatment population and the placebo population have the same mean.
Treatment group: n=7, x⎯⎯⎯=111, s=6.1.
Placebo group: n=12, x⎯⎯⎯=104, s=5.

(a) The test statistic is .

(b) What are the degrees of freedom? df =

(d) The positive critical value is

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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