Lecture 01-introduction - 1036 Probability Statistics...

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Prob. & Stat. Lecture01 - introduction ([email protected]) 1-1 1036: Probability & Statistics 1036: Probability & 1036: Probability & Statistics Statistics Lecture 1 Lecture 1 -- -- Introduction to Introduction to Statistics and Data Analysis Statistics and Data Analysis
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Prob. & Stat. Lecture01 - introduction ([email protected]) 1-2 Statistical Inference A statistical method To gather information or scientific data from populations By samples , or collections of observations Data have been collected, summarized, reported, and stored To contribute to the process of making scientific judgments in the face of uncertainty and variation Î Improvement of quality Î That why the success of the Japanese in early 1980s
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Prob. & Stat. Lecture01 - introduction ([email protected]) 1-3 Why Statistics The true nature of the science The mathematical techniques that allow us to go beyond merely reporting data but, rather allow the drawing of conclusions about scientific systems To realize each effect of the process A mathematical method to make necessary decision/determination of necessary modifications in order to keep the process at a desired level of quality
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Prob. & Stat. Lecture01 - introduction ([email protected]) 1-4 Probability A measure to quantify the strength or the confidence in our conclusion The transition between descriptive statistics and inferential statistics Probability=1 v.s. Probability=0 Confidence
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Prob. & Stat. Lecture01 - introduction ([email protected]) 1-5 Example 1.1 An engineer encounters data from a manufacturing process in which 100 items are sampled.
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