Characteristics of a rockfall. Refer to the Environmental Geology (Vol. 58, 2009) simulation study of how far
Question:
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, Exercise 2.61 (p. 89). Rebound lengths (in meters) were estimated for 13 rock bounces. The data are repeated in the table. 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 LO9 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 m2.
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 2).
a. Define the parameter of interest.
b. Specify the null and alternative hypotheses.
c. Compute the value of the test statistic.
d. Determine the rejection region for the test using a = .10.
e. Find the approximate p-value of the test.
f. Make the appropriate conclusion.
g. What condition must be satisfied in order for the inference, part
f, to be valid?
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