Question: Anderson Welding and Fabrication utilizes sheet metal beams and rods to create customized machine parts and other various metal structures. The company has taken on a project to build a scale replica of the Chrysler Building from finished aluminum for a parade float. To support the scale windows and exterior features, the frame needs to have a mean tensile strength of 42.0 ksi. If it is too weak, the structure will collapse. If it is too strong, the weight will exceed specifications. The standard deviation is known to be 7.8 ksi. The company has purchased the requisite aluminum bars and wants to test whether the bars will meet the strength requirements. The company has taken a random sample of n= 70 bars and found that µ =43.9 ksi. Anderson wants you to do the test at a significance level of a=0.05. Utilize a two-tailed test, and complete the following steps.

a) Specify the population value of interest, and formulate the null and alternative hypotheses.

b) Determine the rejection region.

c) Compute the test statistic.

d) Set up the decision rule, and reach a decision.

e) Draw a conclusion.