SCI1020 Lecture 7: Part 3b Introduction to inference
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The basic idea of statistical inference: sample (infer or make decisions) whole populatio. Test of significance (is the population mean really what is proposed?) Random sample from the population of interest; truly representative sample. Variable has a normal distribution n( , ) in the population or, by central limit theorem is large enough. Although the value of is unknown, the value of the population standard deviation is. From an estimate made by measuring a sample and knowing the error in that value-> s the population value is likely to be. Confidence interval: an interval of values computed from sample data that is likely to in value. A level c confidence interval has two parts. An interval, calculated from the data, of the form: The confidence level c, which is the probability that the interval will capture the true pa repeated samples. C is the success rate for the method.