Recent Tutoring Session Reviews
"Today we worked on testing hypotheses involving categorical data using the chi-squared statistic. We worked through the homework problems from the first half of the chapter, and then started on the second half. He'll take his quiz tomorrow and then we'll meet again after spring break before his test."
"The student has her "Candy Case" assignment due tomorrow evening. We discussed two of the worksheets associated with this assignment, focusing on understanding p-charts."
"The student did a great job of picking up the material. We finished covering chi-squared tests by going over independence problems and solving them. We then started going through her second practice exam for her final that will be coming up in April. She was grasping the material quickly and also we reviewed some important probability and binomial functions. We will finish going over the second practice test at our next session. I gave the student some problems from an AP statistics book to practice with for chi-squared tests and linear regression. She will be working them outside of sessions and checking them with the answer key at our next session."
"We went over using z tables and t tables to ascertain whether or not to reject a null hypothesis. The student's math was on point but she has not done so well on previous exams. I hope to work with her more on her last two exams and her final paper to boost her grade."
"Great session. Made lots of progress on the material. Planning to have another session tomorrow to finish going over the material we didn't finish up today and to start on the new material going forward."
"We went over inference tests and statistical significance to help the student prepare for her exam. Her grade in the class has improved, but it is still important she understands this material going into the test. She had some issues understanding that the alpha value did not factor into the hypotheses and that it should be used only for comparison with the p-value. I reiterated this and by the end she seemed to understand and was completing the problems successfully. Her strength was with the calculator work and our main emphasis was how to do the problems by hand."
"Today we moved on to analysis of variance (ANOVA). We went over all of the calculations and concepts involved, including a direct example and one where the student had to show her understanding of the statistics involved by working backwards. She didn't have any issues with the concepts or calculations, and in fact has shown big improvement working with the complex formulas!"
"First, we went through one of the homework problems that the student had questions about. It involved determining the percentage of a population that was below a certain value on a random variable, based on knowledge of mean and standard deviation. He did an excellent job on the homework; I'll correct it for our next lesson. We then went through a conceptual overview of sampling distributions. This included parameters, sample statistics, standard error of the mean, the relationship between sample size and normal distributions, and the Central Limit Theorem. We also looked at how standard deviations and accuracy changed with size of sample distributions. The student focused and did a great job understanding these concepts. He was assigned homework on them, which we'll go over at our next lesson, when we'll also start the general topic of interferences based on single samples. I'm more and more optimistic that he'll be well-prepared for his statistics course."
"The student worked through the 5th and final statistics 7 question worksheet and completed it satisfactorily. She understands many of the statistics concepts and their practical application. That is, medical testing, polls, and surveys, etc., and how to calculate several probabilities from different distributions both experimentally and theoretically. She is very adept at using her graphing calculator to perform linear regression analysis. Next week we will commence with integration/ calculus and will spend the next several weeks on mastering all things involving integration and finding the area under the graph of a function and what this represents in a practical sense."
"The student and I worked on her homework assignment that included several problems related to the normal distribution. We were given a p-value and asked to find the corresponding z-values. We discussed how to read the table given in her textbook. We also talked about approximating the binomial distribution using the normal distribution."
"Today, we covered 9.3 in his statistics unit, which introduced the idea of proportion distribution. We worked on an example problem together at first using the PHANTOM approach that he learned from school. Then I had him do a problem on his own, which he was able to complete flawlessly. We also went over 10.2 in physics, which involved transparency and opaqueness of material and the relationship between natural frequency and frequency of light."
"Today was one of the most satisfying sessions with the student. She's getting to the point where she can break down every problem and begin seeing the bigger picture. She is making connections between different topics, specifically how normal and binomial distribution are related. She's also connecting material from different chapters and has a bigger sense of how all the topics are related. I'm looking forward to working with her to see how far she can go. Her homework is to begin compiling a guide."