STATS 250 Lecture Notes - Lecture 10: Mean Absolute Difference, Sampling Distribution, Lection
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Stats 250: introduction to statistics - lecture 10: testing about a population mean. Continued & distribution for a sample mean of paired differences. Example problems from last lection on one population means : The p-value, by definition, is the probability of what we have or more extreme given h0 is true. P( what we have or more extreme|h0 is true) Our p-value is larger than 2(0. 105) = 0. 21. The one-sided p-value for significance tests based on a t-statistic chart does not has 1. 12 listed, so instead, we use 1. 28, as it is the lowest t- statistic. With 29 degrees of freedom (df = n - 1 = 30 - 1), we see the 1. 28 as a t- statistic gives a p-value of 0. 105. Because the alternative hypothesis is two-sided (not equal), this value is doubled, giving us a final p-value of > 0. 21.