Question 1165836
Ho: the two methods produce the same longevity or have equal means

Ha: the two means are different

This is a 2-sample t-test
the difference in the means is 0. They are the same. So, without doing anything more, we can state that the value of the test statistic is 0, since the difference in the means is in the numerator, and the variance is positive.

You might check the problem again and see if the two means were really the same in a sample. That is unusual to have in a problem on t-tests.