STAT 2040 Lecture : Stat2040 Lec
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A study investigated dopamine levels in schizophrenia patients who remained psychotic or became nonpsychotic after a neuroleptict (an- tipsychotic) treatment. Table 1 summarizes the information for the 25 schizophrenia patients in the study. The units are thousandths of nanomoles per millilitre-hour per milligram (1000 nmol/ml-h/mg). The corresponding boxplots are given in figure 1. Table 1: dopamine levels for psychotic and nonpsychotic schizophrenia patients. Psychoticnonpsychotic5152535dopaminethe sampling distribution of the di erence in sample. Suppose we are sampling independently from two populations. The sampling dis- tribution of x1 x2: has a mean of 1 2, has a standard deviation of x1 x2 = (cid:113) 2. 2 n2: is normally distributed if we are sampling from normally distributed popu- lations. Two independent samples (when 1 and 2 are known) We often want to test the null hypothesis that there is no di erence in the popu- lation means: If 1 and 2 are known, the appropriate test statistic is.