We introduce a new family of continuous distributions called the trans-
muted Weibull-G family of distributions which extends the transmuted
class pioneered by Shaw and Buckley (2007). We study the mathemat-
ical properties of the new family. Some useful characterizations based
on the ratio of two truncated moments as well as based on hazard func-
tion are presented. We estimate the model parameters by the maximum
likelihood method. We assess the performance of the maximum likeli-
hood estimators in terms of biases and mean squared errors by means
of a simulation study.