In this paper we discussed issues related to resampling speech signal at arbitrary frequency by using interpolation methods. The implementation of four resampling methods, 1. direct interpolation, 2. Lagrange interpolation, 3. sine interpolation, and 4. Taylor series, is presented. These methods have been tested with some speech data and various resampling frequencies. The quality of the resampled speech signal is analyzed and evaluated by human listening. The experiment results showed that either for upsampling or downsampling, sine and Lagrange methods generate additive high frequency noise like metal sounds, but the direct and Taylor methods do not present such problems. The resampled speech by the direct and Taylor methods sounds more natural than that by sine and Langrange methods.