ADMS 2320 Lecture Notes - Test Statistic, Level Of Measurement, F-Test

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2 types of estimators: point estimator & interval estimator. Estimation the population mean when variance is known: = [z /2 . Population standard deviation ( ) larger - the larger the confidence interval; The confidence level (1- ) larger - the larger the confidence interval. The sample size (n) increasing - decreases the confidence interval; if (n) = population size -> conf. level is single # Selecting sample size: n = [ (z /2 . N= 238. 1 -> n = 239 (always round it up) Hypothesis: h0: the mull hypothesis; h1: alternative hypothesis. E. g: hypothesis: ho: u = 36; h1: u < 36; test stat: z = ( -m)/ ( / n)=(34. 25-36)/(8/ 12)= -. 76; rejection: z < z = z. 05. = -1. 645; p-value: p(z < -. 76) = . 2236. There is not enough evidence to infer that the average student spent less time than recommended. Calculating the probability of a type 2 error: type 1 ( ); type 2 (calculating process)

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