I need your help solving this problem. Please help me by answering and showing explanations.

Problem 1. A column used in constructing a bridge should have a strength of 1250 kN/m. This column will not be used unless experimental evidence strongly indicates that the strength specification has been met. Assume that the strength of these specimens has a normal distriution. (a) What are the appropriate null and alternative hypotheses? (b) After testing 100 specimens, you find s = 100. If your rejection region is (1270, co), what is the probability of making a Type I error? (c) What is the probability that you will not use these columns even if the true strength is 1300 kN/m?? (d) What should the rejection region be if you want a significance level of 0.05? of 0.10? (e) Recalculate the answer to part (c) for the two new rejection regions found in part (d)