Today in Class. Last time we discussed statistical reasoning and Type I and Type II errors Today we’ll discuss Type I and Type II errors in more depth We’ll also discuss the necessity of sampling distributions and how to find the sampling distribution for a sample proportion.
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Use of mathematics and systematic reasoning to derive sampling distribution
Results in normal, t, c2, and F distributions (which we will study later)
Uses a computer to mimick sampling process
Take 1000’s of samples
Relies on a sample of samples
Mathematical approach should be used whenever possibleFinding Sampling Distributions
Increasing s makes the curve shorter and fatter
Increasing m moves the curve to the right
Areas represent probabilities of certain samples for the hypothetical population