1. The appropriate the null and alternative hypotheses are?2. The mean square between treatments is3. The Sum of squares due to error is Exhibit 1:The Ahmadi Corporation wants to increase the productivity of its line workers. Four differentprograms have been suggested to help increase productivity. Twenty employees, making up asample, have been randomly assigned to one of the four programs and their output for a day's workhas been recorded. You are given the results below. At 95% confidence, conduct the ANOVA test todetermine whether there is a significant difference in the mean output under the four programs.Program A150130120180145TotalProgram B150Within Groups120135160Part of the ANOVA table is shown below.110Source of Variation Sum of SquaresBetween Groups 8,75016,350Program C185220190180175d.f.19Program D175150120130175Mean Square

(1) There is no evidence to conclude that there is significant difference in the mean output under…

Answered: The appropriate the null and…

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. The appropriate the null and alternative hypotheses are? 2. The mean square between treatments is 3. The Sum of squares due to error is

Exhibit 1:
The Ahmadi Corporation wants to increase the productivity of its line workers. Four different
programs have been suggested to help increase productivity. Twenty employees, making up a
sample, have been randomly assigned to one of the four programs and their output for a day's work
has been recorded. You are given the results below. At 95% confidence, conduct the ANOVA test to
determine whether there is a significant difference in the mean output under the four programs.
Program A
150
130
120
180
145
Total
Program B
150
Within Groups
120
135
160
Part of the ANOVA table is shown below.
110
Source of Variation Sum of Squares
Between Groups 8,750
16,350
Program C
185
220
190
180
175
d.f.
19
Program D
175
150
120
130
175
Mean Square

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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