Sampling distribution of the sample mean: its mean and standard deviation- The central limit theorem revisited- Conditions for the central limit theorem to hold- Normal approximation for the distribution of the sample mean- Sampling distribution for a difference of sample proportions-
The concept of sampling distributions and application to sample proportions- The need for independence and satisfaction of the success - failure condition-
We completed our review of Chapter 3, and Joshua started Part 1 of the test. I plan to make the test a 2-period test, so Joshua will complete Part 2 tomorrow.
Lilly and I discussed general questions that she had related to statistics, including: interpretation of regression program outputs, residual plots, extrapolation, censuses versus simple random samples, bias in voluntary responses, lack of proof of causality in observational studies, and others.
Review of the Bernoulli Distribution-The Binomial Coefficient-The Binomial Distribution and its Approximation using the Normal Distribution-
Assignment
HW11. p213. 3.49, 3.51, 3.53.
Session Minutes
90
Minutes Student Attended
90
Lesson Comments
Joshua and I will be reviewing material because his homework is not as good as it should be. During class, he appears to understand well and to grasp new ideas very quickly. In addition, during problem sessions in class, he is able to solve most problems easily. Unfortunately, his in-class performance is not matched in his homework. Although he is diligent about doing the homework and returning it to me, most of his answers are wrong. He seems unable to apply concepts that he had mastered only a few hours earlier. I am hoping that reviewing the concepts will cement them in his mind zo that his homework performance improves. Needless to say, his ability to answer homework problems correctly will be closely correlated with his ability to answer AP exam questions correctly.