We covered Ch. 4-3 The Arithmetic Rule and Ch. 4-4 The Multiplication Rule including the concept of disjoint sets, the Rule of Complementary Events, independence, sampling with replacement, sampling without replacement, and redundancy.
We covered and looked at sample problems from Ch. 4-1 Review and Preview of Probability and 4-2 Basic Concepts of Probability. These included the following concepts: Probability, chance, odds, Thomas Malthus, Rare Event Rule, Even, simple event, sample space, the denotation of the probability of event A as P(A), the definition of probability, the definition of subjective probability, the Law of Large Numbers, complement, unlikely, unusual, definition of odds and odds against, and pay off odds.
We went through the second test that she will need to do for her project in her Statistics class at PBA. We went over the conclusion from the tests, and many other questions that need to be answered at the end of her project.
We discussed and did sample problems from Ch. 3-4 Measures of Relative Standing and Boxplots including how to calculate z-score, how to interpret z-score, why z-score, calculating and interpreting percentiles, calculating and interpreting quartiles, using the 5-number summary (min., Q1, Q2, Q3, max.) to create boxplots, and how to deal with outliers. I assigned homework.
We worked problems from Ch. 5-1, 5-2, 5-3 on finding z-scores from areas, areas from z-scores, finding the areas given the z-score for different configurations.
We covered Ch. 3-3 Measures of Variation including variance (sample and population), standard deviation (sample and population), range, mean (sample and population), the Empirical Rule (1 SD from mean is 68% of the probability, 2 SD is 95%, 3 SD is 99.7%), Coefficient of Variation, biased estimators, Chebyshev's Theorem for non-normal distributions (1 SD is at least 1=1/K^2, 2 SD 75%, 3 SD 89%)
We went through her notes and did the sample problems including understanding the normal distribution, x-bar, mu, and sigma, z-score, standard normal distribution, how to find the area under the standard normal distribution given the z-score and finding the z-score given the standard normal distribution, how to calculate areas that are above the z-score and when there are two z-scores, how to use the z-score and standard normal distribution to find the probabilities with the normal distribution.
We discussed the requirements for her group project in her Statistics class after her meeting with her instructor. We organized the information and talked about the type of hypothesis tests she will be doing for this project. We also discussed some of the descriptive statistics that she could provide based on her data collected.
We went through the descriptive statistics that she can do for her project, as well as the possible questions/hypotheses tests that she can do. I organized a table in excel that we will use to calculate the descriptive statistics.
