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Since is a Normal RV with mean and variance (for samples of size ), we then know that the random variable: will be a Standard Normal RV. Since we know how to compute probabilities of Standard Normal RVs, we will be able to state the
probability that the population mean is in some interval (based on the sample we collect). EXAMPLES Confidence Intervals:
Since we know the probability distribution of , we can make use of the following: (This can be easily shown using Minitab by finding
mean 0 and variance 1). where is a Normal RV with Cons...
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