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Category > Statistics Posted 22 Jun 2017 My Price 3.00

How many pairwise comparisons are there when we compare four colors?

Which color attracts beetles best? Exercise 29.2 presents data on the numbers of cereal leaf beetles trapped by boards of four different colors. Yellow boards appear most effective. ANOVA gives very strong evidence that the colors differ in their ability to attract beetles.

(a) How many pairwise comparisons are there when we compare four colors?

(b) Which pairs of colors are significantly different when we require significance level 5% for all comparisons as a group? In particular, is yellow significantly better than every other color?

Exercise 29.2:

Which color attracts beetles best? To detect the presence of harmful insects in farm fields, we can put up boards covered with a sticky material and examine the insects trapped on the boards. Which colors attract insects best? Experimenters placed six boards of each of four colors at random locations in a field of oats and measured the number of cereal leaf beetles trapped. Here are the data:2

                      

Is there evidence that the colors differ in their ability to attract beetles?

 

Answers

Alpha Geek
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Status NEW Posted 22 Jun 2017 11:06 AM My Price 3.00

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Attachments

file 1498131442-Answer.docx preview (60 words )
A-----------nsw-----------er:----------- -----------For----------- bl-----------ue -----------col-----------or,----------- th-----------e a-----------ver-----------age----------- nu-----------mbe-----------r o-----------f b-----------eet-----------les----------- at-----------tra-----------cte-----------d =----------- (1-----------6+1-----------1+2-----------0+2-----------1+1-----------4+7-----------)/6----------- = -----------89/-----------6 =----------- 14-----------.83----------- Fo-----------r g-----------ree-----------n c-----------olo-----------r, -----------the----------- av-----------era-----------ge -----------num-----------ber----------- of----------- be-----------etl-----------es -----------att-----------rac-----------ted----------- = -----------37+-----------32+-----------20+-----------29+-----------37+-----------32)-----------/6=----------- (1-----------87/-----------6) -----------= 3-----------1.1-----------7 F-----------or -----------whi-----------te -----------col-----------or,----------- th-----------e a-----------ver-----------age----------- nu-----------mbe-----------r o-----------f b-----------eet-----------les----------- at-----------tra-----------cte-----------d =----------- (2-----------1+1-----------2+1-----------4+1-----------7+1-----------3+2-----------0)/-----------6 =----------- 97-----------/6 -----------= 1-----------6.1-----------7 F-----------or -----------yel-----------low----------- co-----------lor-----------, t-----------he -----------ave-----------rag-----------e n-----------umb-----------er -----------of -----------bee-----------tle-----------s a-----------ttr-----------act-----------ed -----------= (-----------45+-----------59+-----------48+-----------46+-----------38+-----------47)-----------/6 -----------= 2-----------83/-----------6 =----------- 47----------- -----------
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