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How Sure Are You: Probability & Statistics: Uncharted

Courses Probability & StatisticsHow Sure Are You

How Sure Are You

Build margins and confidence intervals, plan precision, and report uncertainty without overclaiming.

Probability & Statistics
Unit 9 of 12
20 lessons
154 min
420 XP

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Lessons

20 total

1A Guess with a HedgeDistinguish a point estimate from a margin that describes sampling uncertainty.InteractiveConcept7 min20 XPOpen
2The Margin of ErrorEstimate a polling margin with the one-over-root-n rule.InteractiveConcept8 min20 XPOpen
3Margin WorkoutCompare margins, precision, and sample-size requirements.InteractivePractice9 min20 XPOpen
4Quadruple to HalveRead the inverse square-root relationship between sample size and margin.InteractiveConcept7 min20 XPOpen
5Build the IntervalPlace interval endpoints symmetrically around an estimate using a stated margin.InteractiveConcept8 min20 XPOpen
6What 95 Percent MeansInterpret confidence as long-run performance of an interval procedure.InteractiveConcept7 min20 XPOpen
7Watch the Nets CastConnect a 95% confidence level with occasional misses in repeated sampling.InteractiveConcept7 min20 XPOpen
8Narrow or SureExplain the tradeoff between confidence level and interval width.InteractiveConcept7 min20 XPOpen
9Interval WorkoutBuild and interpret intervals while comparing margins and confidence.InteractivePractice9 min20 XPOpen
10Overlapping IntervalsRead candidate estimates and uncertainty ranges without declaring a false clear lead.InteractiveConcept7 min20 XPOpen
11The Statistical TieInterpret a poll whose candidate difference is small relative to its uncertainty.InteractiveConcept7 min20 XPOpen
12Sample Size for a GoalScale sample size to reach a target margin using the square-root rule.InteractiveConcept8 min20 XPOpen
13Means Get Intervals TooConstruct an approximate 95% interval for a mean from its standard error.InteractiveConcept8 min20 XPOpen
14The Fine PrintIdentify limitations a published margin of error does and does not include.InteractiveConcept7 min20 XPOpen
15Reading the NewsTranslate a statistical news claim into an estimate, interval, and limitation.InteractiveConcept7 min20 XPOpen
16Estimate the JarUse capture-recapture overlap to estimate a hidden population size.InteractiveConcept8 min20 XPOpen
17Estimation WorkoutCombine margins, interval endpoints, and honest readings.InteractivePractice9 min20 XPOpen
18When the Interval LiesExplain why technically narrow intervals can miss the intended target under bias or model failure.InteractiveConcept7 min20 XPOpen
19Report It HonestlyOrder the components of a transparent statistical estimate.InteractiveConcept7 min20 XPOpen
20Estimation Mastery CheckCombine margin scaling, interval construction, and responsible interpretation.InteractiveMastery check10 min40 XPOpen

Samples and Surveys Testing Claims