Cross correlation and t test


I have two time series data from two machines arranged sequentially ( machine 1 output goes is machine 2 input) . I wanted to compare the mean utlisation of these machines and see which one is higher over a given period of time. The
two time series data is cross correlated.
. So my question is which t test I should use ? Paired t test or independent t test? As I am not comparing the measurements on the same subject is it ok to use independent t test .?

Note : t test is corrected for auto correlation in the time series data using wilks approach…