STAT 200 Week 1 Homework Problems

STAT 200 Week 1 Homework Problems 1.1.4 To estimate the percentage of households in Connecticut which use fuel oil as a heating source, a researcher collects information from 1000 Connecticut households about what fuel is their heating source. State the individual, variable, population, sample, parameter, and statistic 1. Individual: Households in Connecticut 2. Variable: Percentage of households in Connecticut who use fuel oil as a heating source 3. Population: Set of all responses of Connecticut households as to heating source 4. Sample: Set of 1000 responses of Connecticut households as to heating source 5. Parameter: Percentage of those who use fuel oil as heating source calculated from the population of Connecticut households 6. Statistic: Percentage of people who use fuel oil as a heating source calculated from the sample of 1000 Connecticut households. 1.1.8 The World Health Organization wishes to estimate the mean density of people per square kilometer, they collect data on 56 countries. State the individual, variable, population, sample, parameter, and statistic. 1. Individual: Single Country 2. Variable: Mean density of people per square kilometer from set of 56 countries of the world 3. Population: The set of all countries in the world 4. Sample: the 56 countries 5. Parameter: the mean density percentage of people per square kilometer from the population 6. Statistic: The mean density of people per square kilometer from the 56 countries 1.2.4 You wish to determine the GPA of students at your school. Describe what process you would go through to collect a sample if you use a stratified sample. 1. I would need to have groups of each grade, then I would randomly choose a few student from each grade. 1.3.4 To evaluate whether a new fertilizer improves plant growth more than the old fertilizer, the fertilizer developer gives some plants the new fertilizer and others the old fertilizer. Is this an observation or an experiment? Why? Experiment because fertilizer give plants treatment and the developer gives new fertilizer which then