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 Smirnov a 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 HSD a,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

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Question: 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

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-Smirnov^a	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 HSD^a,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.

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