Use 0.05 significance level, test the claim that at least one of the mean hurricane intensities is different from others. Fill out the one way ANOVA table to complete the hypothesis test. A climatologist wishes to determine whether there is a difference in the mean hurricaneintensity for hurricanes making landfall in the United States over the past four decades. The followingdata show the hurricane intensity, by Saffir-Simpson category, for each hurricane making landfall in thelast four decades (retrieved from stormfax.com). At the a = 0.05 significance level, test the claim thatat least one of the mean hurricane intensities is different from the others.ANOVASource ofVariationFactor(Between)1970's321113311123Error(Within)Total1980's33211.3312111SS11411990's2532 r323121dfFill out the one-way ANOVA table to complete the hypothesis test. (It is recommended that you usetechnology to do this, butcan be done by hand).2322MS/2000's1121412331331331122FP-value

Given Let variable 1970's be A. Let variable 1980's be B. Let variable 1990's be C. Let variable…

Answered: A climatologist wishes to determine…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Use 0.05 significance level, test the claim that at least one of the mean hurricane intensities is different from others. Fill out the one way ANOVA table to complete the hypothesis test.

A climatologist wishes to determine whether there is a difference in the mean hurricane
intensity for hurricanes making landfall in the United States over the past four decades. The following
data show the hurricane intensity, by Saffir-Simpson category, for each hurricane making landfall in the
last four decades (retrieved from stormfax.com). At the a = 0.05 significance level, test the claim that
at least one of the mean hurricane intensities is different from the others.
ANOVA
Source of
Variation
Factor
(Between)
1970's
3
2
1
1
1
3
3
1
1
1
2
3
Error
(Within)
Total
1980's
3
3
2
1
1.
3
3
1
2
1
1
1
SS
1
1
4
1
1990's
2
5
3
2 r
3
2
3
1
2
1
df
Fill out the one-way ANOVA table to complete the hypothesis test. (It is recommended that you use
technology to do this, but
can be done by hand).
2
3
2
2
MS
/
2000's
1
1
2
1
4
1
2
3
3
1
3
3
1
3
3
1
1
2
2
F
P-value

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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