Use a Tiao and Box intervention model with a step type dummy variable, that is, a general linear model with a step dummy variable (1 before the change and 0 after) and an error term following an ARIMA process. If the coefficient of the dummy variable is not significant (using a t test) you will not have a change in the mean.
A change in the level of a time can be addressed using an intervention model. Significance of the model parameters indicates significance of the mean change.
A change in the level of a time series can be addressed using an intervention model. Significance of the model parameters indicates significance of the mean change.