According to the longrun behavior of the confidence interval

According to the long-run behavior of the confidence interval procedure, out of 100 confidence intervals, how many intervals should you expect to not contain the population mean if these are 95% confidence intervals?

Consider the confidence interval simulation \"95% with n=30\". Out of the 100 displayed confidence intervals how many do not contain the population mean?

Consider the confidence interval simulation \"95% with n=120\". Out of the 100 displayed confidence intervals how many do not contain the population mean?

Solution

For 95% confidence, out of 100 confidence intervals, 95 intervals should you expect to contain the population mean.

After confidence interval simulation \"95% with n=30\", out of the 100 displayed confidence intervals 8 do not contain the population mean.

After confidence interval simulation \"95% with n=120\", out of the 100 displayed confidence intervals 6 do not contain the population mean.