Question

Dataset Q
	Group A	Group B	Group C
	26.33	25.80	13.72
	24.75	19.91	22.49
	18.33	21.44	19.33
	27.05	20.05	18.34
	18.90	22.74	16.50
	23.66	19.58	12.41
	22.90	16.45	14.05
	25.22	23.50	19.94
	19.65	19.69	17.34
	27.14	20.70	19.02
	20.28	20.71	13.82
	21.23	21.37	17.51
	19.89	15.26	18.02
	22.92	20.89	15.38
	23.10	21.43	16.30
	20.16	15.63	19.48
	23.35	20.23	20.39
	19.93	19.17	20.00
	17.95	20.12	13.59
	21.65	18.81	20.07
	25.17	21.24	15.67
	21.54	22.08	17.67
	24.41	19.73	19.04
	20.83	18.77	19.41
	20.95	19.55	18.75
	24.84	21.97	16.85
	20.14	24.97	17.60
	23.62	18.54	21.79
	21.41	21.63	17.87
		22.17	14.97
			18.76

1. T/F Examine Dataset Q. Dataset Q fails our approximately normal sampling distribution condition for a valid 1-Way ANOVA test.

2. T/F Examine Dataset Q. Dataset Q fails our minimum size condition for a valid 1-Way ANOVA test.

3. T/F Examine Dataset Q. Dataset Q fails our groups with similar properties condition for a valid 1-Way ANOVA test

Answer 1

Answer:

MINITAB used

1. T/F Examine Dataset Q. Dataset Q fails our approximately normal sampling distribution condition for a valid 1-Way ANOVA test.

False. From the Normal plots and form the tests ( all three tests are not significant , P > 0.05)   that our data approximately normal and condition is satisfied.

2. T/F Examine Dataset Q. Dataset Q fails our minimum size condition for a valid 1-Way ANOVA test.

False, Since all the sample sizes are near 30, minimum size condition is valid here.

3. T/F Examine Dataset Q. Dataset Q fails our groups with similar properties condition for a valid 1-Way ANOVA test

False: equality of variance assumption is not violated.Levene test = 0.74, P=0.481 which is not significant.

Test for Equal Variances: Group A, Group B, Group C

Method

Null hypothesis	All variances are equal
Alternative hypothesis	At least one variance is different
Significance level	α = 0.05

95% Bonferroni Confidence Intervals for Standard Deviations

Sample	N	StDev	CI
Group A	29	2.58362	(2.05988, 3.53208)
Group B	30	2.32585	(1.63153, 3.60317)
Group C	31	2.50343	(1.94228, 3.49673)

Individual confidence level = 98.3333%

Tests

Method	Test Statistic	P-Value
Multiple comparisons	—	0.826
Levene	0.74	0.481