STATS 250 Lecture Notes - Lecture 11: Confidence Interval, Pooled Variance, Mean Absolute Difference
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Stats 250: introduction to statistics - lecture 11: testing about a population mean of. Paired difference & learning about the difference in population means. Testing hypotheses about the population mean of paired differences d: A single mean of a population occurs when two quantitative variables are collected in pairs, and we desire information about the difference between the two variables. For paired data designs, it is the differences that we are interested in analyzing. H0: 0 = 0 vs. ha: d > 0. H0: 0 = 0 vs. ha: d < 0. H0: 0 = 0 vs. ha: d 0. Note: the format of the alternative hypothesis depends on the research question of interest and the order in which the differences were taken. Test statistic and conditions for the test. Test statistic = (sample statistic - null value)/standard error = (d-bar - 0)/(sd/ n) If h0 is true, the test statistic has a t(n-1) distribution.