Refer to Exercise 8.3 and obtain a \(95 \%\) confidence interval for the difference in mean dynamic modulus.

Data From Exercise 8.3 

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8.3 The dynamic modulus of concrete is obtained for two different concrete mixes. For the first mix, n = 33, x=115.1, and s = 0.47 psi. For the second mix, n2 31,y=114.6, and s2 = 0.38. Test, with = 0.05, the null hypothesis of equality of mean dynamic mod- ulus versus the two-sided alternative.