[Verse 1] Sarah surveys thousand voters, captures just one hundred views Population hides its secrets, samples whisper partial clues Every statistic tells a story, but the truth stays incomplete Point estimates are our best guess from the data that we meet [Chorus] Point and interval, dancing hand in hand Sample mean reveals what we understand Confidence surrounds our single guess Ninety-five percent captures the rest Point estimates start, intervals complete Making uncertainty mathematically sweet [Verse 2] Population mean stays hidden, like a treasure locked away Sample mean becomes our compass, pointing toward the bay Standard error wraps around it, measuring our doubt Larger samples shrink uncertainty, squeeze the error out [Chorus] Point and interval, dancing hand in hand Sample mean reveals what we understand Confidence surrounds our single guess Ninety-five percent captures the rest Point estimates start, intervals complete Making uncertainty mathematically sweet [Bridge] Lower bound and upper bound embrace our point between Z-score multiplied by standard error paints the scene Ninety-nine percent grows wider, ninety percent gets thin Trading confidence for precision, let the games begin [Verse 3] Margin bounces left and right from our estimate's core Critical values set the boundaries, statistics' ancient lore Bootstrap methods shake the sample, resample draws anew Building intervals from scratch when distributions skew [Chorus] Point and interval, dancing hand in hand Sample mean reveals what we understand Confidence surrounds our single guess Ninety-five percent captures the rest Point estimates start, intervals complete Making uncertainty mathematically sweet [Outro] Population parameters waiting to be found Point estimates and intervals keep our feet on solid ground
← Sampling and the Central Limit Theorem | Hypothesis Testing Basics →