Answered: 400 B.C. 131 138 125 129 132 135 132…

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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400 B.C.	131	138	125	129	132	135	132	134	138
1850 B.C.	129	134	136	137	137	129	1136	138	134
150B A.C.	128	138	136	139	141	142	137	145	137

Listed on the top are skull breadths obtained from skulls of Egyptian makes from three different epochs( based on the data from Ancient Races of the Thebaid by Thomson and Randall-Maciver). Assume that we plan to use analysis of variance with a 0.05 significance level to test the claim that the different epochs have mean skull breadths that are not all the same. The results from XI.STAT are shown down below.

Source	DF	Sum of squares	Means squares	F	Pr>F
Model	2	138.7407	69.3704	4.0497	0.0305
Error	24	411.1111	17.1296
Corrected Total	26	549.8519

1.What characteristics of the data indicates that we should use one way analysis of variance?

If the test described in EXAMPLE 1 is conducted with a 0.05 significant level what should be conclude about null hypothesis?

And , (((What is the result suggest about the data?)))

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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