In an aerial survey of four plots selected by simple random sampling, the number of ducks detected were 44, 55, 4, and 16. Careful examination of photoimagery of the first and third of these plots (selected as a simple random subsample) revealed the actual presence of 56 and 6 ducks, respectively. The study area consists of 10 plots. Estimate the total number of ducks in the study by using a ratio estimator, and find the standard error of your estimate.