Larger sample sizes lead to wider confidence intervals. narrower confidence intervals. shorter hypothesis tests. more assumptions about data.
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Larger sample sizes lead to narrower confidence intervals! This is because with more data points, we have a better estimate of the population parameter, and this increased precision reduces the uncertainty around our estimate. Think of it like trying to hit a target—you’re more likely to hit the bullseye when you have more arrows to shoot! Additionally, when you conduct hypothesis tests, a larger sample size increases the statistical power of the test. This means you're more likely to detect a true effect or difference when one actually exists. Imagine having a magnifying glass: the bigger the sample size, the clearer the view you have of what’s really happening!