Recent Tutoring Session Reviews
"We worked on using the difference between two means as a random variable today. This mostly consisted of learning how to calculate standard deviation in these situations. He didn't have much trouble learning how to run a z-score test or constructing a confidence interval in these instances."
"During this session the student and I covered the material in chapter 8 of her statistics book. This involved calculating and interpreting margins of error and confidence intervals for a variety of situations and varying levels of confidence. We worked out the exercises in her text book for the relevant sections. Once she understands what she is supposed to do and identifies what formula to use, she catches on quickly and retains the information well."
"We covered more on binomial formula and counting principles to prepare for her exam the following day. I had her talk me through what she had done on worksheets and quizzes that utilized these types of questions. She seemed very confident and knew how to do the relevant problems and was using the correct formulas. There was a little confusion around how to calculate the expected value of x but we went over the formula and several examples. By the end, she said she felt much less worried about the test."
"We went over the material she learned in class and previewed the last half of the section and the next section she will be learning. We related her newest formula to a formula she had learned in a previous chapter."
"Today, we covered chapter 4. We went over the concepts, learned how to do them in the calculator, and practiced homework problems. The session went very well and I feel that the student grasped the concepts very quickly."
"We went over the central limit theorem, specifically for working with means and proportions. We finished the exercises in this section and will be moving onto the other topics (t-distribution, chi-square distribution, etc.) and then working on assignments next week. As always, the student had a positive attitude towards the material and is progressing well."
"The student and I did a review test that focused on sampling distributions, both for a mean and a proportion. We calculated probabilities, found percentiles, calculated Z-scores, worked with confidence intervals, and discussed type I and type II error."
"We went over taking inferences from a least squares regression model, as well as getting background information from him (i.e. name of course, part that he's currently on in his AP Statistics class). The student seemed confident about the material being reviewed. No strategies or study skills were included in this session. I gave him a practice problem to see if he understood the course material during the session."
"Today we worked on a comparison of t-tests and z-values for a worksheet the student was to complete. He has gotten better at making predictions for the hypotheses of data sets and then following those predictions with statistical evaluations. This is a good way to cut down on errors when calculating standard deviations and z-values. Next week we will practice for the SAT."
"The student has an exam Thursday for which we prepared by distilling the content from his textbook into core concepts and good examples. Once he saw how to methodically approach a problem for a given concept, I think he was more comfortable dealing with the peculiarities that each individual problem entailed. We used practice exams as an opportunity to first break down how to approach the problem and make clear what we know and what we need to find. On the second pass, he went through to solve the problems. Conceptually, he still gets a bit hung up on the requirements for specific statistical tests, so we worked through logically why those requirements make the test valid. We'll find out at the end of the week how he did!"
"The student and I first went through his first two homework assignments and discussed them. The assignments involved definitions of interval, ratio, nominal, and ordinal data, and ways of drawing and interpreting relative frequency histograms. We discussed events, simple events, sample spaces, combinatorics, union and intersection, complementary events, conditional probability, dependence and independence, mutual exclusivity, the additive and multiplicative rules, and random sampling. He picked up the material quickly and was attentive throughout the discussion. He did an excellent job on his previous homework, and I'm optimistic he'll do a great job on his homework for chapter 4, which is due at our next lesson."
"The topic we covered for the student's homework during this session was mainly on probability. The homework covered various sections such as expected and actual values, probability mean and standard deviation, and application of these formulas to real world questions/word problems. He comprehends the formulas and their meaning well. He's eager to learn, and motivated to do well in this class and finishing his assignments!"