Probability and Statistics (week-9) Onur DOĞAN

Chebyshev's Inequality (or equivalently, at least 1 - 1/c2 of the distribution's values are within c standard deviations of the mean)

Skewness .

Pearson's skewness coefficients

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.

Sampling Distribution .

Sampling Distribution .

Central Limit Theorem .

Statistical Intervals for a Single Sample .

Confidence Interval on the Mean of a Normal Distribution, Variance Known .

Confidence lntervals .

Confidence lntervals .

Example .

Solution .

Confidence Interval on the Mean of a Normal Distribution,Variance Unknown (t distribution) .

A Large-Sample Confidence Interval for a Population Proportion Confidence Interval Formula: Sample Size Selection

Example .

Solution .

Summary for Confidence Intervals .

Examples

Example .

Solution

Example .

Solution .