Table 2.

t-Test: Two-Sample Assuming Equal Variances for 2nd and 3rd study combined

pre-game 2x vs. 1.5x				post-game 2x vs. 1.5x
	2x	1.5x			2x	1.5x
Mean (matching attempts)	30.05882353	30.94444		Mean (matching attempts)	29.52941176	31.55556
Variance	121.8088235	51.34967		Variance	96.88970588	35.9085
Observations	17	18		Observations	17	18
Df	27			df	26
t Stat	-0.279806427			t Stat	-0.730441427
P(T < = t) one-tail	0.390879247			P(T < = t) one-tail	0.235825777
t Critical one-tail	1.703288446			t Critical one-tail	1.70561792
P(T < = t) two-tail	0.781758494			P(T < = t) two-tail	0.471651554
t Critical two-tail	2.051830516			t Critical two-tail	2.055529439
pre-test 2x vs. 1.5x				post-test 2x vs. 1.5x
	2x	1.5x			2x	1.5x
Mean	4.647058824	3.722222		Mean	6.117647059	5.333333
Variance	3.492647059	1.624183		Variance	3.110294118	5.411765
Observations	17	18		Observations	17	18
Df	28			df	32
t Stat	1.700796708			t Stat	1.127823783
P(T < = t) one-tail	0.050031757			P(T < = t) one-tail	0.133889939
t Critical one-tail	1.701130934			t Critical one-tail	1.693888748
P(T < = t) two-tail	0.100063514			P(T < = t) two-tail	0.267779878
t Critical two-tail	2.048407142			t Critical two-tail	2.036933343

When comparing the 1.5x and 2x speeds in the combined second and third cohort of students, it was found that none of the observed differences between the pre- and post-quizzes and games were statistically significant at the conventional alpha level of 0.05. This data is observed in Table 2