ITEC 1010 Study Guide - Final Guide: Maximum Likelihood Estimation, Frequency Distribution, Confidence Interval

• School: York University
• Department: Information Technology
• Course: ITEC 1010
• Professor: Marina Erechtchoukova

Document Summary

, xn is a random sample from a (1, ) distribution. (a) show that the random variable (2/ ) Twenty motors were put on test under a high-temperature setting. The lifetimes in hours of the motors under these conditions are given below. Suppose we assume that the lifetime of a motor under these conditions, x, has a (1, ) distribution. (a) obtain a frequency distribution and a histogram or a stem-leaf plot of thedata. Consider the data on the lifetimes of motors given in exercise 4. 1. 1. Obtain a large sample confidence interval for the mean lifetime of a motor. Since, this is the mgf for a distribution with 2 degrees of freedom. By corollary 3. 3. 1 from the text book, the sum of independent random variables each having a distribution with 2 degrees of freedom is a distribution random variable with degrees of freedom.