STATISTIC AND PROBABILITY (PARAMETER AND STATISTIC).pptx

STATISTIC AND PROBABILITY

1. SIR PIPS Estimation of Parameters STATISTIC AND PROBABILITY

2. PRAYER

3. ATTENDANCE SAY HATDOOOG!

4. JUMBLED LETTERS

5. TILECREENP

6. PERCENTILE

7. OINBUTSIDIRT

8. DISTRIBUTION

9. ALBETT

10. T TABLE

11. DREEEGFEEROMDOF

12. DEGREE OF FREEDOM

13. PERCENTILE AND T-DISTRIBUTION

14. Item 1 Item 2 Item 3 Item 4 Item 5 25 20 15 10 5 PERCENTILE percentile is a the value below which a percentage of data falls.

15. EXAMPLE You are the fourth tallest person in a group of 20 80% of people are shorter than you.

16. Another example : Using the given data below, find the following percentiles. 40, 45, 50, 50, 56, 60, 65, 80, 90 1.10th percentile 2.50th percentile 3.75th percentile

17. Item 1 Item 2 Item 3 Item 4 Item 5 25 20 15 10 5 T-DISTRIBUTION Like the normal distribution, the t-distribution has a smooth shape. Like the normal distribution, the t-distribution is symmetric. If you think about folding it in half at the mean, each side will be the same. -The t-distribution is most useful for small sample sizes, when the population standard deviation is not known, or both.

18. T-DISTRIBUTION TABLE

19. df Degree of freedom a right tailed area t-v t-value Locating t-value maximum number of logically independent values which vary in the data sample. n-1

20. 1. Identify the t-value whose number of samples n = 7 and has an area (𝛼) equal to 0.05. 2. Find the t-value whose degree of freedom is 20 and has 𝛼 = 0.01. EXAMPLE

21. df Degree of freedom a right tailed area t-v t-value PERCENTILE USING T-DISTRIBUTION maximum number of logically independent values which vary in the data sample. n-1 P PERCENTILE 100-P

22. Identify the t-value of the following percentiles given the number of samples. a. 95th percentile , N= 30 b. 90th percentile, N=20 EXAMPLE

23. MATCHING TYPE

24. GROUP ACTIVITY

25. GROUP 1

26. GROUP 2

27. What is the 95th percentile of the t distribution when the sample size is 23 ? To what percentile of the distribution does 1.397 belongs if the sample size is 9 ? In the Student's t distribution , what is the sample size of the degree of freedom is 25 ? If the are of the unshaded part of the t distribution is 0.85 , what is the area of the shaded region ? To what percentile of the t distribution does 2.131 belongs if the sample size is 16 ? 5MINS QUIZ

28. A researcher conducts a diagnostic examination to 20 students. The following are the interpretation of the diagnostic examination. James got a score which is 60% higher than those who took the diagnostic test. Rowena has a percentile rank of 90. Jimuel got a score which is only 5% higher than those who took the diagnostic test. Joanna has a percentile rank of 75. Lester is 90% lower than those who took the diagnostic test. HOME WORK

29. THANK YOU