Recent Tutoring Session Reviews
"Confidence intervals and hypothesis tests. We reviewed for her third test. She seemed to be doing pretty well, although she had a few minor issues, she seems to understand everything."
"The student's semester final is on June 5th. We decided it would be best to review the earlier chapters covered before the student and I started meeting for tutoring sessions - Chapter 14: Probability and Chapter 15: Normal Distributions. Now that he has a good understanding of statistical inference, we discussed how to calculate probabilities of specific outcomes using both the Bernoulli equation and a 1-proportion Z test depending on how many events meet the criteria of the outcome. We also talked about normal distributions - how they are formed from a mean and standard deviation, the definition of standard deviation and how sample size reduces the standard deviation. We also reviewed how to calculate a z-score and that its purpose is to represent an observation as a horizontal distance from the mean. Turning an observation into a 'normalized' distance from the mean allows us to determine the probability of observing our obtained value in the long run. Ultimately, because we often cannot perform an experiment a large number of times, we have to rely on random sampling and consistency of testing conditions to yield an observed mean and use the z-score to determine the long run probability of observing that same mean. The student is going to complete problem 15.3 started for our next session, and he's going to have a list prepared of the topics he'd like to focus on prior to the final."
"We covered the foundations of discrete random variables, including how to define them, calculate mean, and standard deviation. We went over some binomial distribution examples."
"The student had several worksheets to complete as homework. The concepts covered were using inequality symbols to compare fractions. She did well. Her teacher suggested drawing figures rather than finding a common denominator to compare fractions in this case. I showed her how to rewrite one fraction to make it have the same denominator as the other and she improved. I went over her report card with her mother."
"For our first session, we covered the following topics: theoretical probability, experimental probability, and ratios. I received the course curriculum and will use it to tailor our future meetings so that we can go over several sample problems."
"We covered some new material that the student had gone over in class today. She has a quiz on Wednesday and wanted to make sure that she understood all of the new subject matter. The material focused on additional ways to evaluate voting systems. She did well on most of the material, but she has a tendency to work too quickly and make small mistakes. I encouraged her to take her time and write out each step of her work in order to improve her accuracy."