Most video games have several difficulty settings, from "Easy" to "Hard" (many of these have very colorful names). A video game designer wants to determine how to structure the difficulty levels for a new game so that the average time it takes the typical player to play through "Hard" mode is two hours longer than the average time to play through "Easy" mode. A sample (Group 1) of 14 typical players took an average of 5.3 hours to complete the game on "Hard", with a standard deviation of 1.2. Another sample (Group 2) of 17 typical players took an average of 1.1 hours to complete the game on "Easy", with a standard deviation of 1.3. Calculate the test statistic to test the hypothesis described above, assuming the two population standard deviations are NOT equal (Case 2).