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Testing the Null Hypothesis
Testing the Null Hypothesis

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Introduction to Bayesian Learning

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... mean is x = 50 months. Suppose that the lifetimes for tires of this brand follow a normal distribution, with unknown mean µ and standard deviation σ = 5 kg. Find a 95% confidence interval for µ. During class we found that the 95% confidence interval for the population mean, µ, was (48.04, 51.96). St ...
The Exact Friedman Test and Multiple Comparison Procedure in Macro Form
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... I) At any  < .05, we can reject the null hypothesis that the true mean is 1000. II) If a 99% confidence interval for the mean were determined here, the numerical value 972 would certainly lie in this ...
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Lecture 3: Two important problems involving Balls into Bin and

Statistical Inference Confidence Intervals
Statistical Inference Confidence Intervals

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History of statistics

The History of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of the word statistics. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, ""statistics"" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.Statistical activities are often associated with models expressed using probabilities, and require probability theory for them to be put on a firm theoretical basis: see History of probability.A number of statistical concepts have had an important impact on a wide range of sciences. These include the design of experiments and approaches to statistical inference such as Bayesian inference, each of which can be considered to have their own sequence in the development of the ideas underlying modern statistics.
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