Answer
We would expect 95 intervals to include 100.
The sample mean is greater than the population mean plus the margin of error or less than the population mean minus the margin or error.
Work Step by Step
95% of 100 = 95.
For a given level of confidence, there is a corresponding $t_{\frac{α}{2}}$. With this value, given the standard deviation and mean of a sample, we can find the margin of error and an interval of confidence. If the sample mean is greater than the population mean plus the margin of error or less than the population mean minus the margin of error, this interval will not include the population mean.
