A shipping company claims its boxes can carry 36 lb., the production design allows the boxes to be uniform in construction with a standard deviation of 1.7 lb. However, no assumptions are made regarding the data's probability distribution. A random sample of 49 boxes, were tested and the maximum carrying load was recorded, producing a sample mean of 32.2 lb. What is the statistical decision at the 5% level of significance of the following questions:

1) One-tail hypothesis, testing the claim that the true mean is 36 lb? Explain how the tail, upper or lower, is dictated by the point estimate.

2) Two-tail hypothesis, testing the claim that the true mean is 36 lb? Interpret your results and discuss the useful insight it provides int the subject matter.