Question 253978: Given the following sample data of head injury to crash test dummies and a significance level of α = 0.05, test the claim
that the four samples come from populations with the same mean (μ1 = μ2 = μ3 = μ4).
Subcompact Cars Compact Cars Midsize Cars Full-Size Cars
681 643 469 384
428 655 727 656
917 442 525 602
898 514 454 687
420 525
259 360
a. What is the sum of squares between groups?
b. What is the sum of squares within groups?
c. What is the degrees of freedom between groups?
d. What is the degrees of freedom within groups?
e. What is the F value?
f. What is the Fcritical value?
g. What is the p-value?
h. Based on the p-value describe why you accept/reject the hypothesis.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Given the following sample data of head injury to crash test dummies and a significance level of α = 0.05, test the claim
that the four samples come from populations with the same mean (μ1 = μ2 = μ3 = μ4).
Subcompact Cars Compact Cars Midsize Cars Full-Size Cars
681 643 469 384
428 655 727 656
917 442 525 602
898 514 454 687
420 525
259 360
a. What is the sum of squares between groups?;;;;20912.3667
b. What is the sum of squares within groups?;;;;;6970.7889
c. What is the degrees of freedom between groups?;;;;;3
d. What is the degrees of freedom within groups?;;;;;;16
e. What is the F value?;;;;;;0.20546..
f. What is the F critical value?;;;;;?
g. What is the p-value?0.8911..
h. Based on the p-value describe why you accept/reject the hypothesis.
Since the p-value is greater than alpha, do not reject Ho.
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Cheers,
Stan H.
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