STAT231 Lecture Notes - Lecture 9: Standard Deviation, Random Variable, Confidence Interval
15 Jan 2018
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Today: confidence interval for mu from a normal population with known sigma (population sd, confidence interval for binomial, confidence interval for exponential (when n is large, the chi-squared distribution chi^2_k, the t distribution. Example 1: the incomes of uw grads are normally distributed with mean mu, and sd sigma = Object: to fund the 99% for mu, i. e. we want to construct a random interval [a, b], such that. P(a < mu < b) = 0. 99 (this is called the coverage interval, and 0. 99 is called the coverage probability or level of confidence) A sample of 64 uw grads are drawn at random {y1, ,y64}, y bar = 60000, sigma = 7000. Example 2: november 16, an exit poll is conducted with a random sample of 1000 us voters and 530 of them voted for trump. Pi = proportion of total votes trump will get. We want to construct a 95% ci for pi.
