Most video games have several difficulty settings, from Easy to Hard (many of these have very...

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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). 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).

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