MATH1041 Lecture Notes - Lecture 6: Lowy Institute For International Policy, Sampling Distribution, Random Variable
19 Nov 2018
School
Department
Course
Professor
Document Summary
A 2015 poll by the lowy institute of 1,200 randomly selected australians found that 63% (or 756/1200) of. Australians think our government should commit to significant emission reductions so that other countries will be encouraged to do the same. When we have collected some data, we usually want to calculate a statistic that summarises some key quantity of interest (such as the 63% in the poll). Statistics obtained from random samples or randomised experiments are random variables because their values vary from sample to sample. The sampling distribution of a statistic is the probability distribution of values taken by this random variable. If we know the sample distribution of a statistic, we can understand how this statistic will behave, from one sample to the next. This is important for understanding how reliable a statistic is. Studying the sampling distribution of binomial counts and sample proportions, such as in the poll example, will help us answer questions such as:
