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'Life, unlike a math textbook, doesn't have all of the ... Opinion polls. Astronomical measurements. Cosmic Ray research! The value of the Hubble constant ... – PowerPoint PPT presentation

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1
Life, unlike a math textbook, doesnt have all
of the answers in the back of the book. Source
lost
2
The Real World
  • Technicians get paid a reasonable salary to
    follow recipes.
  • Scientists get paid higher salaries to write
    recipes for technicians to follow.

3
Good Time to Review Definitions of Precision and
Accuracy
  • Precision
  • Random errors are small
  • Give examples of random errors
  • Results are extremely reproducible
  • Large number of significant digits can be
    justified
  • Experimenter is skilled
  • Accuracy
  • Systematic errors are small
  • Give examples of systematic errors
  • Result reveals truth

4
  • Experiments with large random errors
  • Social sciences
  • Political polling
  • Economics
  • Opinion polls
  • Astronomical measurements
  • Cosmic Ray research!
  • The value of the Hubble constant
  • Experiments with large systematic errors
  • Poorly calibrated equipment
  • Consistent parallax
  • Voltmeter with low input impedance or inaccurate
    components
  • Basically indefensible

5
A Digression on Error Analysis and Significant
Digits
  • The number of significant digits that you
    report in lab reports will be taken very
    seriously
  • This is where the rubber hits the road
  • If too small, your work will not be taken
    seriously
  • You get no credit for claiming to have measured
    the speed of light to be 3x1010 cm/sec in 2009!
  • If too large, your work is indefensible and
    effectively fraudulent. (You are claiming
    something you have, in fact, not done.)

6
How Do You Determine How May Digits Are Really
Justified?
  • Hg manometer?
  • What are the sources of systematic error?
  • How could you calibrate your measurements?
  • How precisely (or is it accurately?) can you read
    the mercury levels?
  • Other gauges
  • How do you calibrate them?
  • How precisely (or is it accurately?) can you read
    them?
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