# Statistics

## 00 - Pilot

Course Objective:

Upon completion. of the coursework, exam, and a final project. it is expected that students will be proficient in the areas like Statistical Concepts, which describe the four major conceptual themes of statistics by describing data, producing data, anticipating patterns, and statistical inference. Another area like statistical skills that can produce convincing oral and written statistical arguments, using appropriate terminology in a variety of applied settings. know when and how to use technology as an aid in solving statistical problems. Also, there is an area like statistical knowledge, which employs techniques for producing data of surveys, experiments, observational studies, simulations), then analyzing data in graphical and numerical summaries, with include modeling data in a format of probability, random variables, and sampling distribution, without forgetting to draw conclusions from data especially the inference procedures confidence intervals and significance tests. Lastly, to become a critical consumer of published statistical results by heightening awareness of ways in which statistics can be improperly used to mislead, confuse, or distort the truth, which legally called as Statistical Habits of Mind.

Topic to be cover:

01. The Key Words and Definitions for Elementary

02. Exploring Categories of Data, Levels of

03. Sampling Techniques. How to Develop a Random

04. Frequency Distribution and Histograms

05. Finding the Center of a Data Set, Mean, Median

06. Finding the Standard Deviation of a Data Set

07. Finding Z-Score, Percentiles and Quartiles

08. Introduction to Probability

09. The Addition Rule for Probability

10. The Multiplication Rule for "And" Probabilities

11. Probability of Complementary Events with "At Least One"

12. Fundamental Counting Rule, Permutations, and Combinations

13. A Study of Probability Distributions, Mean, and Standard Deviation

14. A Study of Binomial Probability Distributions

15. Finding Mean and Standard Deviation of Binomial Probability Distribution

16. Introduction to the Normal Distribution and Continuous Random Variables

17. The Standard Normal Distribution - Using Z-Score, Standard Score

18. Sampling Distributions Statistics - Using Samples to Approx. Populations.

19. The Central Limit Theorem for Statistics - Using Z-Score, Standard Score

20. Finding Confidence Intervals for the Population Proportion

21. Confidence Interval for the Sample Mean, Population Std Dev. --- Known

22. Confidence Interval for the Sample Mean, Population Std. Dev. --- Unknown

23. Confidence Intervals for Variance and Std. Dev. Chi-Squared Distribution

24. An Introduction to Hypothesis Testing

25. Hypothesis Testing for Population Proportion

26. Hypothesis Testing for Population Mean, Population Std. Dev. is Known

27. Hypothesis Testing for Population Mean. Population Std. Dev. is Unkown

28. Hypothesis Testing Involving Variance and Standard Deviation.

Textbook Reference:

Qualification:

Multivariable Calculus, Differential Equations, and Honors of Differential Equations.

Policy:

Problem sets (28 variants), Writing Assignment.