I am testing a stochastic model that generates synthetic hydrologic time series (five-year series, 60(month) data points). I want to evaluate whether these synthetic time series have the same probabilities as the historical series. For this, I'm thinking to use the t-Test with The null hypothesis: the average of 150 synthetic values of each month in each year is statistically equal to the historical mean for the corresponding month.
Is it correct to use this hypothesis testing? if this correct this situation is a two-sample or one sample t test?