1. Lazarus Steel Corporation produces iron rods that are supposed to be36 inches long. The machine that makes these rods does not produce each rodexactly 36 inches long. The lengths of the rods are normally distributed, and theyvary slightly. It is known that when the machine is working properly, the meanlength of the rods is 36 inches. The standard deviation of the lengths of all rodsproduce on this machine is always equal to .035 inch. The quality controldepartment at the company takes a sample of 20 such rods every week,calculates the mean length of these rods, and tests the null hypothesis, μ = 36inches, against the alternative hypothesis μ 36 inches. If the null hypothesis isrejected, the machine is stopped and adjusted. A recent sample of 20 rodsproduced a mean length of 36.015 inches.Calculate the P-value for this test of hypothesis. Based on this P-value, will thequality control inspector decide to stop the machine and adjust it if he choosesthe significance level to be .02? What if the significance level is.10?

From the provided information, Population standard deviation (σ) = 0.035 Sample mean (x̄) = 36.015…

Answered: 1. Lazarus Steel Corporation produces…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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