Statistics › Section K · The chi-square distribution › Topic K.6
Test of a single variance
Machines are trusted for their consistency, not just their aim: a filler must not only average 500 ml but stay tight around it. The single-variance test prices claims about spread - with a chi-square statistic that measures how the sample's variance argues with the claimed one.
In this topic
- Claims about spread
- The statistic
- Two tails on a skewed curve
- Worked example: the filler's consistency
- Worked example: the scale's stability
- Reading the verdict in SD units
- Conditions: normality matters here
- Common mistakes to avoid
- Key takeaways
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