Researcher P. Paronuzzi modeled the effects of a rock wall collapsing on a slope in the article "Rockfall-Induced Block Propagation on a Soil Slope, Northern Italy" (Environmental Geology, Vol. 58, No. 7, pp. 1451-1466). One of the variables measured was the distance that a rock block rebounded after bouncing down the slope. The following table lists the rebound distances, in meters, for a sample of 16 simulations of a rock bouncing down a soil slope with a 20—¦ angle.

Find a 99% confidence interval for the standard deviation of the rebound distances of the bouncing rocks.

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12.65 9.08 5.25 2.12 4.52 2.75 6.10 11.16 7.87 2.94 6.96 4.71 7.46 6.51 6.51 2.31 1