In case (b), the graph of the probability density function of T is much (but not exactly) the same as that of the ordinary t distribution with n−1 degrees of freedom, but shifted t...In case (b), the graph of the probability density function of T is much (but not exactly) the same as that of the ordinary t distribution with n−1 degrees of freedom, but shifted to the right or left by the non-centrality parameter, depending on whether μ>μ0 or μ<μ0.
