Applied researchers often test for the difference of the Sharpe ratios of two investmentnstrategies. A very popular tool to this end is the test of Jobson and Korkie (1981), whichnhas been corrected by Memmel (2003). Unfortunately, this test is not valid when returnsnhave tails heavier than the normal distribution or are of time series nature. Instead, wenpropose the use of robust inference methods. In particular, we suggest to construct a studentized time series bootstrap confidence interval for the difference of the Sharpe ratios and to declare the two ratios different if zero is not contained in the obtained interval. This approach has the advantage that one can simply resample from the observed data as opposed to some null-restricted data. A simulation study demonstrates the improved finite sample performance compared to existing methods. In addition, two applications to real data are provided.