In underwater signal processing, acoustic signals are used to transmit and receive information for communication. But the acoustic signals get affected due to spreading, reverberation, attenuation and absorption which produce ambient noise. Ambient noise is the background noise created due to natural sources as well as anthropogenic (man-made) sources. Ambient noise can be characterized as Gaussian, nonGaussian, stationary and non-stationary because of what the sonar system get disturbed. So to improve sonar system performance, characterization of ambient noise is important. In this paper, non-Gaussianity in tropical waters of the western coast of India is compared using various hypothetical tests like Lilliefors test, Anderson-Darling test, and Shapiro-Wilk test. Non-stationarity is identified using Kolmogorov-Smirnov two-sample test.