In an earlier article [J. Acoust. Soc. Am. 63, 353–365 (1978)], the authors presented a statistical theory of acoustic propagation in a canonical‐model random ocean, valid in the limit of low acoustic frequency. Here, numerical predictions of the theory are evaluated and compared to the results of a large‐scale Monte Carlo computer simulation. At each of the acoustic frequencies 50, 100, 200, 500, and 1000 Hz, 100 independent realizations of the random acoustic model are obtained. Sample statistical moments indicate that, at least up to 200 Hz, the theoretical predictions are quite accurate. For 500 Hz and above the theory breaks down, as expected for sufficiently high acoustic frequency.