STAT 1450 Chapter Notes - Chapter 11: Bias Of An Estimator, Sampling Distribution, Random Variable
9 Oct 2018
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The things that we have done so far in this course have been building blocks to get us to what we do next: inference. When we take information from a sample and generalize it to our population of interest, we are doing inference. But, we can quantify that variation and describe how statistics from samples behave. That"s what we concentrate on in this chapter. We will use sample statistics to estimate population parameters. That"s a great statement if we know the words mean. Notation: x sample mean s population mean population standard deviation sample standard deviation. Statistical estimation and the law of large numbers. If we want to estimate the population mean , we use the sample mean x . The sample mean x is a random variable. We learned in chapters 10/12 that each random variable has a distribution that tells us the values the random variable can take and the probability that it takes on these values.
