Introducing intervals, which are bounded sets of numbers and are very useful when describing domain and range. We can use interval notation to show that a value falls between two endpoints.

From scientific measures to election predictions, confidence intervals give us a range of plausible values for some unknown value based on results from a sample. Let's learn to make useful and reliable …

This phrasing makes it seem as if the population mean is variable, but it's not. This interval either captured the mean or didn't. Intervals change from sample to sample, but the population parameter …

Yes, though you may need to use less than or equal to and less than symbols instead. It depends on the graph and the interval you are describing.

And now linguistically it sounds a little bit more like a confidence interval. We are confident that there's a 99% chance that p is within 0.08 of the sample mean of 0.568.

Or another way of thinking about it, this is another way of saying that x is in the interval between-- it's less than 1 and it is greater than negative 1. And this term right over here, now x is a variable. x can …

Histograms A histogram displays numerical data by grouping data into "bins" of equal width. Each bin is plotted as a bar whose height corresponds to how many data points are in that bin. Bins are also …

Now let's look at the t table. We want a 98% confidence interval and we want a degree of freedom of 14. Let's get our t table out, and I actually copied and pasted this bottom part and moved it up so you …

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Once we build a confidence interval for a proportion, it's important to be able to interpret what the interval tells us about the population, and what it doesn't tell us. Let's look at few examples that …