In the course of designing theater seats, the sitting heights (in mm) of a simple random sample of adult women is obtained, and the results are...

In the course of designing theater seats, the sitting heights (in mm) of a simple random sample of adult women is obtained, and the results are listed below. Use the sample data to construct a 99% confidence interval estimated of σ, the population standard deviation of sitting heights of all women. Round to the nearest thousandth of a millimeter.

849 807 821 859 864 877 772 848 802 807 887 815