ample#14i (Source: IntroductiontaStatistics ind Dati Analysis-4th Edition Fire a

Question

ample#14i (Source: IntroductiontaStatistics ind Dati Analysis-4th Edition Fire ants have a negative impact on other ant species. To investigate whether the use of bait traps is effective in reducing the number of fire ants, fire-ant abundance was measured before, during and after the use of bait traps at each of 10 sites ("Red Imported Fire Ant Impacts on Upland Anthropoids in Southern Mississippi." The American Midland Naturalist [2010), 54-64) (A) Fill in the missing entries in the following ANOV A table. Source df MS Prob> Time 3199140.0 0.0001 Site 15028.2 0.7257 Error 3259051.5 Total (B) Conduct a hypothesis test to determine if the data provides evidence that mean fire-ant abundance is different for the three time periods

Explanation / Answer

a)

here df (time) =total factors -1=3-1=2

df(site) =total types of sites -1=10-1=9

df error =df(time)*df(site)=2*9=18

df(total)=2+9+18=29

SS(errror)=SS(total)-SS(time)-SS(site) =44883.3

MS(time)=SS(time)/df(time)=1599570

MS(site)=SS(site)/df(site)=1670

MS(error)=SS(error)/df(error)=2494

F ratio (Time)=MS(time)/MS(error)=641.4911

F ratio (Site)=MS(site)/MS(error) =0.6697

b)

here for p value for time factor is highly significant(<0.001) therefore we can reject null hypothesis that mean fire-ant abundant is same for three time periods

we have sufficient evidence to conclude tthat mean fire-ant abundant is different for three time periods

c)

here p vlaue for block (site) is not significant (very high) we can not conclude that blocking is effective in reducing experimental error,

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