Most video games have several difficulty settings, from \"Easy\" to \"Hard\" (ma

Question

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 11 typical players took an average of 6.3 hours to complete the game on "Hard", with a standard deviation of 1.3. Another sample (Group 2) of 12 typical players took an average of 2 hours to complete the game on "Easy", with a standard deviation of 1.4.

Calculate the test statistic to test the hypothesis described above, assuming the two population standard deviations are equal.

Hint: Referring to the formulas given in the notes for the hypotheses for difference in means, the value of "d" is 2 in this problem.

Explanation / Answer

Ho: mu1 - mu2=2

Ha: mu1-mu2 not equal to 2

Two tailed test for comparison of means

Mean difference = 4.3

4.3-2 = 2.3

Std error =0.565

t = 4.0715

p=0.0005

This is extremely significant.

Hence difference is not 2.

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