Data for head injury measurements (in HIC, which is a standard head injury criterion) from samples of small, midsize, and large cars involved in the standard crash test were used to produce the accompanying ANOVA table. Using a 0.05significance level, test the claim that the different size categories have the same mean head injury measurement. Does the size of a car appear to affect head injuries? sum of squaresdfMean SquareF sigBetween Groups237217.9262118608.9634.851 0.016Within Groups660161.2052724450.415 Total897379.13129 Dialog content endsPrintDone What are the hypotheses to test?H0:H1: The test statistic is(Round to two decimal places as needed.) Identify the P-value. The P-value is(Round to three decimal places as needed.)▼ Fail to rejectRejectH0.Since the P-value is▼ lessgreaterthan the significance level, there▼ is notissufficient evidence to refute the claim that the different size categories have the same mean head injury measurement. It▼ does not appearappearsthat the size of a car affects head injuries.

Given : The given ANOVA table is sum of squares df Mean Square F sig Between…

Answered: Data for head injury measurements (in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Data for head injury measurements (in HIC, which is a standard head injury criterion) from samples of small, midsize, and large cars involved in the standard crash test were used to produce the accompanying ANOVA table. Using a 0.05significance level, test the claim that the different size categories have the same mean head injury measurement. Does the size of a car appear to affect head injuries?

	sum of squares	df	Mean Square	F	sig
Between Groups	237217.926	2	118608.963	4.851	0.016
Within Groups	660161.205	27	24450.415
Total	897379.131	29

Dialog content ends

PrintDone

What are the hypotheses to test?

H0:

H1:

The test statistic is

(Round to two decimal places as needed.)

Identify the P-value.

The P-value is

(Round to three decimal places as needed.)

▼

Fail to reject

Reject

H0.

Since the P-value is

▼

less

greater

than the significance level, there

▼

is not

sufficient evidence to refute the claim that the different size categories have the same mean head injury measurement. It

▼

does not appear

appears

that the size of a car affects head injuries.

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 + ...

Expert Solution