Python

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ISE 4120: Quality and Reliability Engineering Homework 3 (Due on Thursday 2/27/2020 at the beginning of the class) Instruction - This assignment should be submitted online in Carmen. Sub- mit your report as one .pdf file and your Python codes for all problems as one .py file separately. Do not compress them into one file. The python code should be separated into different cells (using "#%%" command) for different problems and have a label for each problem. In your report include your python code for each problem along with the output in the order of the problems (no appendix), and a brief description of the results. Failure to follow this instruction will result in a penalty. For Python codes, you may refer to the 'stat infer.py' on Github. Problem 1 (15 pt). The tensile strength of a fiber used in manufacturing cloth is of interest to the purchaser. Previous experience indicates that the standard deviation of tensile strength is 2 psi. A random sample of eight fiber specimens is selected, and the average tensile strength is found to be 127 psi. (a) Test the hypothesis that the mean tensile strength equals 125 psi versus the alternative that the mean exceeds 125 psi. Use a = 0.05. (b) What is the P-value for this test? (c) Discuss why a one-sided alternative was chosen in part (a). (d) Construct a 95% lower confidence interval on the mean tensile strength