With reference to Example 7, Chapter 8, use the range of the second sample to estimate \(\sigma\) for the resiliency modulus of recycled materials from the second location. Compare the result with the standard deviation of the second sample.

Data From Example 7

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EXAMPLE 7 A two sample t test to show a difference in strength To reduce the amount of recycled construction materials entering landfills it is crushed for use in the base of roadways. Green engineering practices require that their strength, resiliency modulus (MPa), be accessed. Measurements on n = n2 = 6 specimens of recycled materials from two different locations produce the data (Courtesy of Tuncer Edil) Location 1: 707 632 604 652 669 674 Location 2: 552 554 484 630 648 610 Use the 0.05 level of significance to establish a difference in mean strength for materials from the two locations.