a. Choose the answer : 1) Alternative Hypothesis: The population variation of the shear strength for soil type l is > that of soil type II. 2) Alternative Hypothesis: The population variation of the shear strength for soil type l is < that of soil type II. 3) Alternative Hypothesis: The sample variation of the shear strength for soil type l is not equal to that of soil type II. 4) Alternative Hypothesis: The population variation of the shear strength for soil type l is not equal to that of soil type II. b. What is the first critical value for this test? c. What is the second critical value for this test? d. What is the first test statistic for this test? e. What is the second test statistic for this test?

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Shear strength measurements derived from unconfined compression tests for two types of sols gave the
results shown in the following table (measurements in tons per square foot). Do the soils appear to differ
with respect to the variation of the shear strength, at the 10% significance level?
Soil
Soil Type
Турe l
II
sample size
10
sample
1.57
1.92
mean
sample std
dev
0.17
0.22
Let the strength measurement of soil type I be the first population and the strength measurement of soil
type II be the second.
a. Choose the answer :
1) Alternative Hypothesis: The population variation of the shear strength for soil type l is > that of soil type
I.
2) Alternative Hypothesis: The population variation of the shear strength for soil type I is < that of soil type
II.
3) Alternative Hypothesis: The sample variation of the shear strength for soil type l is not equal to that of
soil type II.
4) Alternative Hypothesis: The population variation of the shear strength for soil type l is not equal to that of
soil type II.
b. What is the first critical value for this test?
c. What is the second critical value for this test?
d. What is the first test statistic for this test?
e. What is the second test statistic for this test?
Transcribed Image Text:Shear strength measurements derived from unconfined compression tests for two types of sols gave the results shown in the following table (measurements in tons per square foot). Do the soils appear to differ with respect to the variation of the shear strength, at the 10% significance level? Soil Soil Type Турe l II sample size 10 sample 1.57 1.92 mean sample std dev 0.17 0.22 Let the strength measurement of soil type I be the first population and the strength measurement of soil type II be the second. a. Choose the answer : 1) Alternative Hypothesis: The population variation of the shear strength for soil type l is > that of soil type I. 2) Alternative Hypothesis: The population variation of the shear strength for soil type I is < that of soil type II. 3) Alternative Hypothesis: The sample variation of the shear strength for soil type l is not equal to that of soil type II. 4) Alternative Hypothesis: The population variation of the shear strength for soil type l is not equal to that of soil type II. b. What is the first critical value for this test? c. What is the second critical value for this test? d. What is the first test statistic for this test? e. What is the second test statistic for this test?
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