1. A state environmental protection agency is studying the water quality of a large coastal bay. The agency is specifically focusing on the concentration of microplastics, measured in particles per liter, in the water.
n | Mean | Standard Deviation | Min | Q1 | Median | Q3 | Max |
|---|---|---|---|---|---|---|---|
60 | 8.4 | 2.1 | 3.2 | 6.9 | 8.2 | 9.8 | 14.1 |
The agency initially proposes the following investigative question: "Are there a lot of microplastics in the bay?"
Identify one flaw in this investigative question and state a refined investigative question that addresses the flaw and clearly identifies the population and a quantitative variable.
To collect data, an intern proposes taking 60 water samples from the end of the main public marina dock on a single Saturday morning.
Identify the sampling method proposed. Describe a potential source of bias in this sampling method and explain how this bias could affect the estimate of the mean microplastic concentration for the entire bay.
A senior scientist rejects the intern's proposal and instead divides the bay into three distinct ecological zones: shallow estuaries, deep open water, and commercial shipping channels. The scientist randomly selects 20 locations within each of the three zones to collect a total of 60 water samples.
Identify the sampling method used by the senior scientist. Explain one statistical advantage of using this sampling method compared to taking a simple random sample of 60 locations across the entire bay.
The 60 water samples are collected using the scientist's method. The summary statistics for the microplastic concentrations, in particles per liter, are shown in Table 1.
One specific water sample from the deep open water zone had a microplastic concentration of 13.5 particles per liter. Calculate the z-score for this specific water sample and interpret it in context. Based on the sampling method used by the senior scientist, to what population can the agency appropriately generalize the results of this study? Justify your answer.