How To Find The Z Score, Confidence Interval, and Margin of Error for a Population Mean

[@TheOrganicChemistryTutor]

Statistics - Video Lessons: www.video-tutor.net/statistic.html

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[@stuartinkrott6853]

@6:58 is that actually true? I thought the only thing we could say is that we are 95% confident that 95 out of 100 sampling events should give us confidence intervals that contain the population mean, not that this specific confidence interval of this specific sample tells us anything. If you were dealing with a different sample, your upper and lower bounds would be different. So really you should be saying that at a ratio of 95 to 100 sampling events, we are confident that subsequent samples taken after this should produce confidence intervals that contain the population mean and that the numbers of the upper and lower bounds are largely biased by the specific sample taken. Seems like a small distinction since it is likely this is one sample of 100 that will produce a confidence interval that contains the mean, but then again it seems inappropriately inflated to assume that these particular upper and lower boundaries mean anything. We should be focusing on what the sampling procedure will produce in repeated sampling events, not focus on this specific sample.

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[@briankasia]

This is a better way to say that last part. "If we decrease the sample size n to 25, we increase the error bound. Increasing the sample size causes the error bound to decrease, making the confidence interval narrower. Decreasing the sample size causes the error bound to increase, making the confidence interval wider." -Open textbooks.

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