In: Math
A. A stress analysis was conducted on random samples of epoxy-bonded joints from two species of wood. A random sample of 120 joints from species A had a mean shear stress of 1250 psi and a standard deviation of 350 psi, and a random sample of 90 joints from species B had a mean shear stress of 1400 psi and a standard deviation of 250 psi. (i) Conduct a hypothesis test with α = 0.02 to determine whether or not there is a difference between the mean sheer stress of the two species of wood. Be sure to state your hypotheses, test statistic, p-value, and conclusions. (ii) Construct a 98% two-sided confidence interval for the difference µA − µB. Compare the CI with the results of the hypothesis test in (i). Are the conclusions consistent
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