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Family 1

Data → mean / sample sd / t-CI

These 4 topics share one solution. Spot the family, apply the method — same trick, different story.

How to spot this family

  • Power outage durations:You're given a list of raw data (10–25 values) · a) asks for the average / mean · b) asks for the sample standard deviation · c) asks for a confidence interval for the true mean at some confidence level · d) the width is written as 2×C×sn2\times C\times\frac{s}{\sqrt{n}}, and asks what CC is and what it's called
  • Cold start ignition time:Given a run of raw data (10–25 values) · a) asks for the average / mean · b) asks for the sample variance · c) asks for a confidence interval for the true mean at some confidence level · d) width written as 2×Q×sn2\times Q\times\frac{s}{\sqrt{n}}; asks what QQ is and what it's called
  • Weld gap:Given a run of raw data (10–25 values) · a) asks for the average / mean · b) asks for the sample variance · c) asks for a confidence interval for the true mean at some confidence level · d) width written as 2×D×sn2\times D\times\frac{s}{\sqrt{n}}; asks what DD is and what it's called
  • Water pH:You are given a string of raw data (10 to 25 numbers) · a) asks for the average / mean · b) asks for the sample standard deviation · c) asks for a confidence interval for the true mean at some confidence level · d) The width is written as 2×L×sn2\times L\times\frac{s}{\sqrt{n}}, asking what LL is and what it is called

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Related knowledge points

The concepts behind this family's method — brush up first if unsure.