Problem 3. (10 pts) To detect the presence of harmful insects in farm fields, we

Question

Problem 3. (10 pts) 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 board. Which colors attract insects best? Experimenters placed six boards of each of four colors at random location in a field of oats and measured the number of cereal leaf beetles trapped. After finding significant difference between boards, a post-hoc analysis was performed using Tukey test for multiple comparison of the mean number of beetles trapped. Using the output provided to answer the following: MULTIPLE COMPARISONS OF THE MEANS ADJUSTMENT-TUKEY ALPHA- 0.05 Confidence Interval Difference in means Blue - Green Blue-White Blue- Yellow Green-White Green- Yellow White Yellow Lower Upper 7.16 10.49 7.83 -41.49 .23.16 5.83 24.16 25.16 6.83 40.1621.83 -25.49 (10 pts) True or false? Circle one. Blue and green attract approximately the same number of beetles More beetles get trapped in white boards than blue boards a. TRUE FALSE TRUE FALSE Blue and yellow boards attracts a significant different amount of beetles TRUE FALSE TRUE FALSE TRUE FALSE Yellow attracts significantly more beetles than white and blue Green attracts significantly more beetles than white

Explanation / Answer

?The confidence interval of Blue- green is (-25.49, -7.16). It does not contain 0, that's why there are 95% chances that blue and green does not attract the same number of beetles.

?This is because the confidence interval of difference of white from blue contain negative values (-10.49, 7.83). This means there are 95% chances that More beetles get trapped in white boards than blue board.

?The CI of Blue- yellow is (-41.49, -23.16). It does not contain 0 in it.

?As the CIs of Blue- Yellow and White- Yellow both have only negative values in it, hence this statement is true. If only a single value would have been negative, rest the whole CI positive, then also we would give it benefit of doubt and consider the statement true.

?Again, The CI of Green- white have only positive values.

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