Chest Deceleration Measurements (g) from a Standard Crash TestSmall44393754394442Midsize36534342524941Large32454138373833SPSS ResultsSum of SquaresdfMean SquareFSig.Between Groups200.8572100.4293.2880.061Within Groups549.7141830.540 Total750.57120 The accompanying data table contains chest deceleration measurements (in g. where g is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significalevel to test the claim that the different size categories have the same mean chest deceleration in the standard crashComplete parts (a) and (b) below.E Click the icon to view the table of chest deceleration measurementsE Click the icon to view the table of analysis of variance results.a. What characteristic of the data specifically indicates that one-way analysis of variance should be used?O A. There are three samples of measurements.OB. The measurements are categorized according to the one characteristic of size.

Name: Chest Deceleration Measurements (g) from a Standard Crash TestSmall443
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Description: Chest Deceleration Measurements (g) from a Standard Crash TestSmall44393754394442Midsize36534342524941Large32454138373833SPSS ResultsSum of SquaresdfMean SquareFSig.Between Groups200.8572100.4293.2880.061Within Groups549.7141830.540 Total750.57120 T

Introduction: Suppose there are k groups. Denote the true average of each of the k groups as μ1, μ2,…

Answered: The accompanying data table contains…

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Chest Deceleration Measurements (g) from a Standard Crash Test

Small	44	39	37	54	39	44	42
Midsize	36	53	43	42	52	49	41
Large	32	45	41	38	37	38	33

SPSS Results	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	200.857	2	100.429	3.288	0.061
Within Groups	549.714	18	30.540
Total	750.571	20

The accompanying data table contains chest deceleration measurements (in g. where g is the force of gravity) from samples of small, midsize, and large cars. Shown are the technology results for analysis of variance of this data table. Assume that a researcher plans to use a 0.05 significa
level to test the claim that the different size categories have the same mean chest deceleration in the standard crash
Complete parts (a) and (b) below.
E Click the icon to view the table of chest deceleration measurements
E Click the icon to view the table of analysis of variance results.
a. What characteristic of the data specifically indicates that one-way analysis of variance should be used?
O A. There are three samples of measurements.
OB. The measurements are categorized according to the one characteristic of size.

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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