For the following, X (bar) = 150, s = 15, N = 550, 90 % confidence interval is 150 ± 1.0562, 95 % confidence interval is 150 ± 1.2547,the 99 % confidence interval is 150 ± 1.652, and 99.9 % confidence...

For the following,
X
(bar) = 150,
s
= 15,
N
= 550, 90 % confidence interval is 150 ± 1.0562, 95 % confidence interval is 150 ±  1.2547,the 99 % confidence interval is 150 ±  1.652, and 99.9 % confidence interval is 150 ±  2.1254.

What happens to the interval width as confidence level increases? Why?