STAT 2040 Lecture 7: unit 07
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If the population is normal, then these methods will work for any sample size. It is the sample size that matters: the confidence level, all other factors being equal, the greater the confidence level, the greater, 8. 2. 3: examples the margin of error. In a normal quantile-quantile plot, the data points are plotted in such a way that if the sample if approximately normally distributed, the points will form (roughly) a straight line. If we do not have a random sample then any generalization to a larger population is dubious. It is rare that the assumptions are perfectly true, so procedures that work well in a variety of situations are most useful: but the procedures start to break down in the presence of outliers or strong skewness. If n>40 the t procedures perform well in most practical situations. If the sample size is greater than 40 we are in good shape in most commonly encountered situations.