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Probability and Statistics ( week -9). Onur DOĞAN. Chebyshev's Inequality. ( or equivalently, at least 1 - 1/ c 2 of the distribution's values are within c standard deviations of the mean ). Skewness. Pearson's skewness coefficients. Example.
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ProbabilityandStatistics (week-9) Onur DOĞAN
Chebyshev'sInequality • (or equivalently, at least 1 - 1/c2 of the distribution's values are within c standard deviations of the mean)
Skewness .
Example • It’s been understood that, in a hosptial patients’ average hospital stay is 28, median is 25 and mode is 23 (days). • Define the skewness type, find the pearson coefficient and interpret it.
Confidence Interval on the Mean of a Normal Distribution,VarianceKnown • .
Example • .
Solution .
Confidence Interval on the Mean of a Normal Distribution,VarianceUnknown(t distribution) .
A Large-SampleConfidenceIntervalfor a PopulationProportion • Confidence Interval Formula: • Sample Size Selection
Example .
Solution .
Example • .
Example • .
Solution • .
