POL232H1 Lecture Notes - Lecture 8: Interval Estimation, Statistical Parameter, Standard Deviation
Document Summary
Y in the population is not a random variable as its value does not vary by chance. Hence, the distribution of y in the population is not a probability distribution. If we randomly sample it from the population, y becomes a random variable. Y = random variable y =particular realization of random variable. If we randomly sample it, the population of y becomes the probability distribution of y f(y) probability distribution of y. Population parameters: numerical summaries of y in the population. Distribtuion of y = probability distribution of y. Population parameters become the parameters of the probability distribution. Notations for the parameters of a probability distribution will be used to denote the population parameters. Mean of probability distribution of y e(y) = . We estimate the population mean of y by a sample mean of y computed from a random sample. We can take many different random samples from the same population (repeated sampling)
