18.05 Midterm: MIT18_05S14_Prac_Exa2_Sol.pdf
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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) 2 using the probability tables (i) the table gives this value as p (z < 1. 5) = 0. 9332. You should become familiar with the probability tables at the end of these notes: (a) (ii) this is the complement of the answer in (i): p (z > 1. 5) = 1 0. 9332 = 0. 0668. Or by symmetry we could use the table for -1. 5. (iii) we want p (z < 1. 5) p (z < 1. 5) = p (z < 1. 5) p (z > 1. 5). This is the di erence of the answers in (i) and (ii): . 8664. (iv) a rough estimate is the average of p (z < 1. 6) and p (z < 1. 65). P (z < 1. 6) + p (z < 1. 65)
