Question

Based on the confidence level used for your confidence intervals, about how many of the 10,000 confidence intervals would you expect to contain the population mean? Explain. How many of your 10,000 confidence intervals actually did contain the population mean? Did your 250th confidence interval contain the population mean? Explain.

Answer 1

Let us say that the confidence level is 95%.

This means that we can expect that 95% of the 10,000 confidence intervals would contain the population mean.

In general, 0.95*10000 = 9500 out of 10000 confidence intervals would contain the population mean.

We can tell how many confidence intervals would contain the population means but we cannot tell if the 250th confidence interval would contain the population mean since it depends on the sample data we are taking and if it would contain the true population means.