Section 1

• Name the variables used in this analysis and whether they are categorical or continuous.
• State a research question, null hypothesis, and alternate hypothesis for the analysis of variance (ANOVA).

Tests of Normality
	Kolmogorov-Smirnova	Shapiro-Wilk
Statistic	df	Sig.	Statistic	df	Sig.
quiz3	.140	105	.000	.935	105	.000
a. Lilliefors Significance Correction

Descriptives
quiz3
	N	Mean	Std. Deviation	Std. Error	95% Confidence Interval for Mean	Minimum	Maximum
Lower Bound	Upper Bound
1	33	7.24	1.324	.230	6.77	7.71	5	10
2	39	6.72	1.538	.246	6.22	7.22	4	10
3	33	7.82	1.976	.344	7.12	8.52	4	10
Total	105	7.23	1.677	.164	6.90	7.55	4	10

ANOVA
quiz3
	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	21.647	2	10.824	4.076	.020
Within Groups	270.867	102	2.656
Total	292.514	104

Post Hoc Tests

Dependent Variable: quiz3
Tukey HSD
(I) section	(J) section	Mean Difference (I-J)	Std. Error	Sig.	95% Confidence Interval
Lower Bound	Upper Bound
1	2	.524	.385	.365	-.39	1.44
3	-.576	.401	.327	-1.53	.38
2	1	-.524	.385	.365	-1.44	.39
3	-1.100*	.385	.014	-2.02	-.18
3	1	.576	.401	.327	-.38	1.53
2	1.100*	.385	.014	.18	2.02
*. The mean difference is significant at the 0.05 level.

Descriptives
quiz3
	N	Mean	Std. Deviation	Std. Error	95% Confidence Interval for Mean	Minimum	Maximum
Lower Bound	Upper Bound
1	33	7.24	1.324	.230	6.77	7.71	5	10
2	39	6.72	1.538	.246	6.22	7.22	4	10
3	33	7.82	1.976	.344	7.12	8.52	4	10
Total	105	7.23	1.677	.164	6.90	7.55	4	10

ANOVA
quiz3
	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	21.647	2	10.824	4.076	.020
Within Groups	270.867	102	2.656
Total	292.514	104

Multiple Comparisons
Dependent Variable: quiz3
Tukey HSD
(I) section	(J) section	Mean Difference (I-J)	Std. Error	Sig.	95% Confidence Interval
Lower Bound	Upper Bound
1	2	.524	.385	.365	-.39	1.44
3	-.576	.401	.327	-1.53	.38
2	1	-.524	.385	.365	-1.44	.39
3	-1.100*	.385	.014	-2.02	-.18
3	1	.576	.401	.327	-.38	1.53
2	1.100*	.385	.014	.18	2.02
*. The mean difference is significant at the 0.05 level.

Homogeneous Subsets

quiz3
Tukey HSDa,b
section	N	Subset for alpha = 0.05
1	2
2	39	6.72
1	33	7.24	7.24
3	33		7.82
Sig.		.375	.308
Means for groups in homogeneous subsets are displayed.
a. Uses Harmonic Mean Sample Size = 34.784.
b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.