1. An agricultural research institute is studying methods to improve the yield of heirloom tomatoes. The institute is particularly interested in comparing a new organic pesticide spray to a standard chemical pesticide spray.
The institute initially proposes the following investigative question: "Are organic sprays better for tomatoes?"
Refine this investigative question so that it clearly identifies the population, the explanatory variable, and the response variable of interest.
To understand current farming practices, a researcher at the institute posts a survey on a popular online farming forum, asking farmers to report their primary pesticide type and their average tomato yield.
Identify the sampling method proposed. Explain one potential source of bias with this method and describe how this bias could affect the estimate of the mean tomato yield for all heirloom tomato farmers.
The institute decides to conduct an experiment using available greenhouse plots that are currently growing heirloom tomatoes. The researchers randomly assign 30 plots to receive the new organic pesticide spray and 30 plots to receive the standard chemical pesticide spray.
Explain the purpose of randomly assigning the pesticide treatments to the greenhouse plots in this context.
At the end of the growing season, the plots treated with the new organic pesticide spray had a significantly higher mean tomato yield than the plots treated with the standard chemical pesticide spray.
Based on the study design, to what population can these results be appropriately generalized? Can the institute conclude that the new organic pesticide spray caused the increase in tomato yield? Justify your answers.
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