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what does standard error do? 2 pts
it measures how much a sample statistic is expected to vary from sample to sample; tells us the typical size of sample variability
as sample size increases the standard error decreases because a larger sample produces more stable and reliable estimates
how to interpret standard error? 2 pts
small SE- sample estimates are more precise and close to the population value
large SE- sample estimates vary more across samples
what is confidence interval? 1 pt
a range in which the true value/ true mean will lie with a high probability; the range of values we expect our estimate to fall between if we redo our test within a certain level of confidence
a wide confidence interval could mean that the sample is small; the larger the sample size the narrower the confidence interval

why is it relevant to report confidence interval?
it can help with conclusions about statistical significance
it tells us if there is a difference and how big it is
it can indicate the direction of the effect studied