1. Probability and Statistics (week-9)
Onur DOĞAN

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

3. Skewness .

4. Pearson's skewness coefficients

5. 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.

6. Sampling Distribution.

7. Sampling Distribution.

8. Central Limit Theorem .

10. Statistical Intervals for a Single Sample.

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

12. Confidence lntervals .

13. Confidence lntervals .

14. Example .

15. Solution .

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

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

18. Example .

19. Solution .

20. Summary for Confidence Intervals.

21. Examples

22. Example .

23. Solution

24. Example .

25. Solution .