a webassign.net An experiment was carried out to investigate the effect of speci
ID: 2907578 • Letter: A
Question
a webassign.net An experiment was carried out to investigate the effect of species (factor A, with r-4 and grade (factor B, with -3 on breaking strength of wood specimens. One observation was made for each species-grade combination-resulting in SSA 442.0, SSB- 423.6, and SSE 129.4. Assume that an additive model is (a) Test mo ?.-?.«,«a..?(no differences in true average strength due to species) versust least one ao using a level 0.05 test. Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? O P-value0.100 O 0.050Explanation / Answer
a)
here degree of freedom for error =(a-1)*(b-1)=(4-1)*(3-1)=6
df for species =a-1=3
f =(SSA/df(species))/(SSE/df(error))=(442/3)/(129.4/6)=6.83
0.010< p value <0.050
reject Ho ; the data suggests tht thetrue average strength of at least one of the species is different from others
b)
f=(SSB/df(grade))/(SSE/df(error))=(423.6/2)/(129.4/6)=9.82
0.010< p value <0.050
reject Ho ; the data suggests tht thetrue average strength of at least one of the grades is different from others
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