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In: Statistics and Probability

3. Shear strength measurements derived from unconfined compression tests for two types of soils gave the...

3. Shear strength measurements derived from unconfined compression tests for two types of soils gave the results shown in the following table (measured in tons per square foot).

Soil Type 1

-n1 = 31

-x1 = 1.56

-s1 = 0.24

Soil Type 2

- n2 = 35

- x2 = 1.47

-s2 = 0.21

(a) Do the soils appear to differ with respect to mean shear strength? Use the critical value method at the 5% significance level. (b) Create a 95% confidence interval on the mean difference. Does this confidence interval come to the same conclusion as your result in part a)?

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