Eric wants to compare the quality of two movies, movie A and movie B. Eric first surveyed a random sample of 138 people who viewed movie A. Their ratings of movie A had an average of 2.5 and a sample variance of 4.4. Eric then surveyed a random sample of 140 people who viewed movie B. Their ratings of movie B had an average of 4.7 and a sample variance of 3.5. Eric wants to test if there is statistically significant evidence that the mean rating of movie A is lower than the mean rating of movie B by at least 0.5. Compute the value of the test statistic.

In the answer box, please put the absolute value of the test statistic. For

instance, if your result is 3.5, enter 3.5. If your result is -3.5, enter 3.5 as well.

Round your answer to the closest third decimal.