Hello @ipqnojug and welcome to the SAS Support Communities!
Both CIBASIC and CIQUANTNORMAL (unlike CIQUANTDF) calculate confidence intervals based on the assumption that the data are normally distributed. Since mean and median (=50% quantile) of a normal distribution coincide, a confidence interval (CI) for the mean is also a CI for the median.
ANOVA, or Analysis Of Variance, is used to compare the averages or means of two or more populations to better understand how they differ. Watch this tutorial for more.