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Question
ch 20 the estimate s introduces additional variation into the t statistic, so the t distribution is _________ spread out than the standard normal distribution. no more more less
The t - distribution has heavier tails compared to the standard Normal distribution. When the estimate \(s\) (sample standard deviation) is used instead of the population standard deviation \(\sigma\) (which is used in the standard Normal \(z\) - statistic), there is more uncertainty. This additional variation (due to using an estimate \(s\) instead of the known \(\sigma\)) causes the t - distribution to be more spread out (have a larger variance in the tails) than the standard Normal distribution.
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