Find a 95% confidence interval for the population standard deviation.

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The scores on an examination in economics are approximately normally distributed with mean 500 and an unknown standard deviation. The following is a random sample of scores from this examination.

414, 420, 450, 499, 518, 557, 584

Find a 95% confidence interval for the population standard deviation. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places.

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