A web team times how long a page takes to load, in seconds, for randomly chosen visits served by two independent server setups:
| setup | load times (s) |
|---|---|
| A | 2.1, 2.4, 1.9, 2.6, 2.3, 2.5 |
| B | 2.9, 3.6, 2.4, 4.1, 3.0, 2.2, 3.8, 3.2 |
The two groups are different visits, so this is an independent-samples comparison, not a paired one. The groups also differ in size and look very differently spread. So instead of assuming one shared standard deviation, the team uses Welch's t statistic, which lets each group keep its own sample variance:
Here is a group's sample mean, is its size, and is its sample variance, which divides by :
What is the value of ? Keep the order A minus B, so the sign is part of the answer.
Round your answer to 2 decimal places.