Air pollution in large US cities is monitored to see whether it conforms to requirements set by the Environmental Protection Agency. The following data, expressed as an air pollution index, give the air quality of a city for 10 randomly selected days.

Assuming that the data may be viewed as a random sample from a normal population, construct a 99% confidence interval for the actual variance of the air pollution index for this city and interpret.

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56.23 57.12 57.7 65.80 59.40 62.90 58.00 64.56 63.92 63.45