Chi-square test for a variance

EasyStatistics~3m

A manufacturer's bolts should have diameter variance at most $0.0002\text{ cm}^2$ . A sample of $12$ bolts has sample variance $0.0003$ . To test $H_0: \sigma^2 = 0.0002$ , what is the value of the appropriate test statistic?

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Variance test statistic: $\chi^2=\tfrac{(n-1)s^2}{\sigma_0^2}$ .
$\tfrac{11\cdot 0.0003}{0.0002}=11\cdot 1.5$ .

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16.5 (± 0.05)

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Chi-square test for a variance

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