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Question 2: Honeybee Colony Collapse Disorder The fitness of honeybee colonies has been declining in recent years, but the reason is unknown. A bee physiologist investigated the effect of mite parasites on the effect of colonies. She used a special chemical called MiteOff that reduced treatment groups of 10 hives each Treatment 1: no MiteOff - resulted in the most mites d parasites. Individual hives were randomly allocated to three Treatment 2: low levels MiteOff- resulted in an intermediate number of mites Treatment 3: high levels Miteoff essentially no mites After 8 days of growth, the fitness of each colony was measured as the number of eggs. The following means were measured: Eggs SE n ## 1 Control 215.3 12 10 Low 272.9 9 10 ## 3 High 16 1.5 14 10 ## 2 CD Control Low High The overall mean was: ## [1] 216.5667 1. What kind of test do you recommend the researchers use to analyze the data? State the assumptions of the test and a visual diagnostic you would use to determine if that assumption was met. Draw an example of what each visual diagnostic would look like if the model meets the assumption of the test. 6 points 2. Assume the data meet the assumptions. What are the null and alternative hypotheses of the test? 2 points 3. Conduct the test. 6 points 4. Interpret the results of your test. Can you say which groups are different from each other? 2 points 5. What is the proportion of the variation in the data that is explained by the groups? 2 points 6. We peformed a Tukey HSD test to determine post-hoc comparisons among the groups and found the following confidence intervals around the mean: Trt diff lvr upr ## 1 Control-Low -57.6-81.6-33.6 ##2 Control-High 53.8 35.8 71.8 ## 3 Low-High 111.4 83.4 139.4 Go back to the original graph and add letters to indicate whether or not the groups ane significantly different from each other. 2 points Interpret the results of the study in light of these post-hoc comparisons. Biologically, what could be happening to the bees with intermediate and higher levels of Mite-Off? 2 points

Answer 1

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