the accompanying data contains chest deceleration measurements (in g. where g is
ID: 3055967 • Letter: T
Question
the accompanying data 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 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test. what characteristic of the data specifically indicates that one way analysis of variance should be used
Explanation / Answer
Level N Mean StDev
Large 7 37.714 4.461
Midsize 7 45.143 6.309
Small 7 42.714 5.648
Hypothesis
Ho : The different size categories have the same mean chest deceleration in the standard crash test.
H1: At least one size categories have the different mean chest deceleration in the standard crash test.
One-way ANOVA: Measurement versus size
Source DF SS MS F P
size 2 200.9 100.4 3.29 0.061
Error 18 549.7 30.5
Total 20 750.6
S = 5.526 R-Sq = 26.76% R-Sq(adj) = 18.62%
Comment: The estimated p-value is 0.061 and larger than 0.05 level of significance. Hence, we retain the null hypothesis and conclude that the different size categories have the same mean chest deceleration in the standard crash test.
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