18.05 Study Guide - Midterm Guide: Mit Opencourseware

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9 Jun 2015
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Note: this is a set of practice problems for exam 2. Within each section we"ve arranged the problems roughly in order of di culty. 1 topics: statistics: data, mle (pset 5, bayesian inference: prior, likelihood, posterior, predictive probability, probabil ity intervals (psets 5, 6, frequentist inference: nhst (psets 7, 8) You should become familiar with the probability tables at the end of these notes: use the standard normal table to nd the following values. You need to use the symmetry of the t-distribution to get probabilities when t < 0. Use the t-tables table to nd the following values. They give the right critical values corre sponding to probabilities. Use the chi-square tables table to nd the following values. 3 data: the following data is from a random sample: 5, 1, 3, 3, 8. Compute the sample mean, sample standard deviation and sample median. 4 mle: (a) a coin is tossed 100 times and lands heads 62 times.

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