QuestionIQ scores: Scores on an IQ test are normally distributed. A sample of 12 IQ scores had standard deviation $s=6$. (a) Construct an $80 \%$ confidence interval for the population standard deviation $\sigma$. Round the answers to at least two decimal places. (b) The developer of the test claims that the population standard deviation is $\sigma=6$. Does this confidence interval contradict this claim? Explain.
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Part 1 of 2
An $80 \%$ confidence interval for the population standard deviation is $\square<\sigma<\square$.