A single sample of size n is drawn from a normally distributed population with a known standard deviation . The 95% and 99% confidence intervals for the population mean are then calculated. Which statement about the two confidence intervals is true?

Both intervals have the same midpoint, but the 95% interval is wider than the 99% interval.

Both intervals have the same midpoint, but the 99% interval is wider than the 95% interval.

The intervals have different midpoints, and the 99% interval is wider than the 95% interval.

Both intervals have the same width, but the 95% interval lie

Both intervals have the same width, but the 99% interval lies to the right of the 95% interval.

Question

A single sample of size n is drawn from a normally distributed population with a known standard deviation . The 95% and 99% confidence intervals for the population mean are then calculated. Which statement about the two confidence intervals is true?

Both intervals have the same midpoint, but the 95% interval is wider than the 99% interval.

Both intervals have the same midpoint, but the 99% interval is wider than the 95% interval.

The intervals have different midpoints, and the 99% interval is wider than the 95% interval.

Both intervals have the same width, but the 95% interval lie

Both intervals have the same width, but the 99% interval lies to the right of the 95% interval.