Subjects statistics

Population Sample Fba657

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1. **Problem:** Identify the population, sample, variable under study, and parameter of interest in the farmer's wheat production estimation. 2. **Step 1: Define the terms** - Population: The entire group about which we want information. - Sample: A subset of the population selected for study. - Variable under study: The characteristic measured or observed. - Parameter of interest: A numerical summary describing the population. 3. **Step 2: Apply definitions to the problem** - Population: All 350 one-acre plots of the farmer's land. - Sample: The 10 randomly selected one-acre plots. - Variable under study: Amount of wheat produced per one-acre plot. - Parameter of interest: The average wheat production per hectare (or per acre) for the entire 350-acre land. 4. **Step 3: Explanation** The farmer wants to estimate the average wheat yield per hectare. Since examining all plots is impractical, he selects a random sample of 10 plots to measure the yield. The population is all plots, the sample is the 10 plots, the variable is the wheat yield per plot, and the parameter is the true average yield for all plots. **Final answer:** - Population: 350 one-acre plots - Sample: 10 randomly selected plots - Variable: Wheat produced per plot - Parameter: Average wheat production per hectare for all plots