Answered: Name your alternative and null…

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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1. Name your alternative and null hypotheses.

b) Be sure and provide the mean for each group, standard error and significance levels.

c) Write out a COMPETE statement as to and whether you accept or reject the null hypothesis.

The federal government instituted a training program to help participants increase their monthly income. The Department’s inspector general wished to evaluate the program’s success or failure.

Monthly income before the training program	Monthly income after the training program
1363	1373
1482	1492
1579	1589
1643	1653
1752	1762
1848	1858
1927	1907
2055	2035
2143	2053
2237	2247
1752	1782
1752	1762
1643	1653
1848	1858
1752	1762

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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