Does an insect electrocuting device reduce mosquito biting? Researchers equipped suburban yards with either an insect electrocuting device, a standard 6-volt CDC trap, or no device. People serving as bait captured mosquitos com- ing to bite in each yard. The investigators took steps to allow for differences among yards and differences in attractiveness of the volunteers as mosquito bait. Details of the experiment are given in Nasci, Harris, and Porter (1983). The response for each yard is the percentage of the highest total number of mosquitos collected in any yard that night. The results are shown below. Device Electrocuting device CDC trap None 66 100 100 82 75 55 Percentage of maximum mosquito count 57 87 97 100 58 58 100 44 94 57 85 75 88 84 91 50 86 100 63 31 61 77 100 74 83 40 87 89 62 87 a. Plot the observations. b. Use a parametric analysis to test the null hypothesis that the mean mosquito response is the same for each device. Do the assumptions of the analysis seem reasonable? c. Go through the steps for a nonparametric analysis. Do the assumptions of this analysis seem reasonable? d. Compare your results in parts (b) and (c). Discuss your findings. e. Why did the investigators choose as a response the percentage of highest total number of mosquitos collected in a yard in a night?
Does an insect electrocuting device reduce mosquito biting? Researchers equipped suburban yards with either an insect electrocuting device, a standard 6-volt CDC trap, or no device. People serving as bait captured mosquitos com- ing to bite in each yard. The investigators took steps to allow for differences among yards and differences in attractiveness of the volunteers as mosquito bait. Details of the experiment are given in Nasci, Harris, and Porter (1983). The response for each yard is the percentage of the highest total number of mosquitos collected in any yard that night. The results are shown below. Device Electrocuting device CDC trap None 66 100 100 82 75 55 Percentage of maximum mosquito count 57 87 97 100 58 58 100 44 94 57 85 75 88 84 91 50 86 100 63 31 61 77 100 74 83 40 87 89 62 87 a. Plot the observations. b. Use a parametric analysis to test the null hypothesis that the mean mosquito response is the same for each device. Do the assumptions of the analysis seem reasonable? c. Go through the steps for a nonparametric analysis. Do the assumptions of this analysis seem reasonable? d. Compare your results in parts (b) and (c). Discuss your findings. e. Why did the investigators choose as a response the percentage of highest total number of mosquitos collected in a yard in a night?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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