Tomas Barot, Ladislav Rudolf, Marek Kubalčík, Radek Krpec
The mathematical statistics fulfils a significant role in our lives. The multidisciplinary impact can be seen in a wide spectrum of areas e.g. engineering, medicine, humanity sciences. In this article, the particular analysis of sound signals is presented. The proposed analyses are bound on device Yamaha PSR E463. The methods of mathematical induction are utilized on data of software Audacity. The spectral density function is measured. The confidence intervals of descriptive aspects of them are achieved. The normality of data of spectral density signals is proposed. Autocorrelations, cross correlations of spectral density functions are drawn. In accordance of normality of data, then the multiple sample tests ANOVA or Kruskal-Wallis’s test are used. For purposes of paired testing of two spectral density functions, the Mann-Whitney test or Wilcoxon paired test is used. The main idea of the article can transfer, that particular statistical analysis can be useful and suitable tool, how to understand the context of the applied acoustics.