Abstract
There are more cases have a data are positive skewed, these data can be modeling by using Lognormal Distribution. since the statistical inference depends on normal distribution then we can use some of transformations for transform the data which has non normal distributions to data distributed as normal distribution. Log-Transformation is one of the important transformations which is used to transform the data from Lognormal Distribution to data has normal distribution. We know the that median is used to measure the tendency for the skewed distributions that positive skewed (Lognormal Distribution) .The purpose of this paper is construct and estimate confidence intervals for data which are distributed Lognormal Distribution by estimate the mean instead of median after data transform for normal distribution ,that mean best of median in parameter of population , we use simulation experiment to calculus and comparing confidence intervals for data distributed Lognormal Distribution by uses several methods for computing such intervals.
