Master confidence intervals, margin of error, point estimation, and statistical inference techniques. Learn to make conclusions about populations based on sample data.
Calculate the confidence interval!
Sample: mean = 50, σ = 5, n = 30
Confidence level: 95%
Calculate the margin of error!
σ = 5, n = 30, Confidence = 95%
Point estimate: A single value (like sample mean x̄) used to estimate a population parameter (μ).
Interval estimate: A range of values (confidence interval) that likely contains the parameter.
Problem: Sample of 30 students has mean height 170 cm. What is the point estimate for population mean?
Answer: Point estimate = x̄ = 170 cm
This is our best guess for the true population mean height.
Problem: 95% confidence interval for mean height is (165, 175) cm.
Interpretation: We are 95% confident that the true population mean height is between 165 and 175 cm.
Answer: Interval estimate: (165, 175) cm