Characteristics of a rockfall. Refer to the Environmental Geology (Vol. 58, 2009) simulation study of how far a block from a collapsing rockwall will bounce down a soil slope. Rebound lengths (in meters) were estimated for 13 rock bounces. The data are repeated in the table and saved in the ROCKFALL file. Descriptive statistics for the rebound lengths are shown on the SAS printout at the bottom of the page. Consider a test of hypothesis for the variation in rebound lengths for the theoretical population of rock bounces from the collapsing rockwall. In particular, a geologist wants to determine if the variance differs from 10 m 2.
10.94 | 13.71 | 11.38 | 7.26 | 17.83 | 11.92 | 11.87 | 5.44 | 13.35 |
4.90 | 5.85 | 5.10 | 6.77 |
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a. Define the parameter of interest.
b. Specify the null and alternative hypothesis.
c. Compute the value of the test statistic.
d. Determine the rejection region for the test using α =.10.
e. Make the appropriate conclusion.
f. What condition must be satisfied in order for the inference, part e, to be valid?
Characteristics of a rock fall. In Environmental Geology(Vol. 58, 2009) computer simulation was employed to estimate how far a block from a collapsing rock wall will bounce— called rebound length—down a soil slope. Based on the depth, location, and angle of block-soil impact marks left on the slope from an actual rockfall, the following 13 rebound lengths (in meters) were estimated. The data are saved in the ROCKFALL file. Compute the mean and median of the rebound lengths and interpret these values.
10.94 | 13.71 | 11.38 | 7.26 | 17.83 | 11.92 | 11.87 | 5.44 | 13.35 | 4.90 | 5.85 | 5.10 | 6.77 |
Based on Paronuzzi, P. “Rockfall-induced block propagation on a soil slope, northern Italy,” Environmental Geology, Vol. 58,2009 (Table).
EPA Mileage Ratings on 100 Cars
36.3 | 41.0 | 36.9 | 37.1 | 44.9 |
32.7 | 37.3 | 41.2 | 36.6 | 32.9 |
40.5 | 36.5 | 37.6 | 33.9 | 40.2 |
36.2 | 37.9 | 36.0 | 37.9 | 35.9 |
38.5 | 39.0 | 35.5 | 34.8 | 38.6 |
36.3 | 36.8 | 32.5 | 36.4 | 40.5 |
41.0 | 31.8 | 37.3 | 33.1 | 37.0 |
37.0 | 37.2 | 40.7 | 37.4 | 37.1 |
37.1 | 40.3 | 36.7 | 37.0 | 33.9 |
39.9 | 36.9 | 32.9 | 33.8 | 39.8 |
36.8 | 30.0 | 37.2 | 42.1 | 36.7 |
36.5 | 33.2 | 37.4 | 37.5 | 33.6 |
36.4 | 37.7 | 37.7 | 40.0 | 34.2 |
38.2 | 38.3 | 35.7 | 35.6 | 35.1 |
39.4 | 35.3 | 34.4 | 38.8 | 39.7 |
36.6 | 36.1 | 38.2 | 38.4 | 39.3 |
37.6 | 37.0 | 38.7 | 39.0 | 35.8 |
37.8 | 35.9 | 35.6 | 36.7 | 34.5 |
40.1 | 38.0 | 35.2 | 34.8 | 39.5 |
34.0 | 36.8 | 35.0 | 38.1 | 36.9 |
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