Problem4 (Use the Formula shee

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Problem4 (Use the Formula sheet and the Tables to answer this question, You should not use Mega-Stat)

The output below represents Descriptive statistics and ANOVA a random samples of six students in 3 schools produced the following GMAT scores

To test the claim that there are significant differences between the averages of 3 GMAT populations scores

Descriptive statistics

	School 1	School 2	School 3
count	6	6	6
mean	646.67	606.67	523.33
sample variance	2,266.67	4,746.67	1,266.67
sample standard deviation	47.61	68.90	35.59
minimum	580	510	490
maximum	710	700	590
range	130	190	100

normal curve GOF
p-value	.4142	.4142	.1573
chi-square(df=1)	0.67	0.67	2.00
E	1.50	1.50	1.50
O(-0.67)	1	2	1
O(+0.00)	2	1	3
O(+0.67)	1	2	1
O(inf.)	2	1	1
One factor ANOVA

	Mean	n	Std. Dev
	646.7	6	47.61	School 1
	606.7	6	68.90	School 2
	523.3	6	35.59	School 3
	592.2	18	72.32	Total

ANOVA table
Source	SS	df	MS	F	p-value
Treatment	47,511.11	2	———-	——	.0032
Error	41,400.00	——	2,760.000
Total	88,911.11	17


Tukey simultaneous comparison t-values (d.f. = 15)
		School 3	School 2	School 1
		523.3	606.7	646.7
School 3	523.3
School 2	606.7	2.75
School 1	646.7	4.07	1.32

critical values for experimentwise error rate:
		0.05	2.60
		0.01	3.42

Use the above output to answer the following questions:

Complete the ANOVA table

Write the null Ho and alternative hypotheses H1

Use Descriptive statistics output to check verify normality of the 3 populations

Use Descriptive statistics output to check constant variance (equal of the population variances)

Use critical value method, to test the claim at a = 05,

Use P-value method, to test the claim at a = 05

If differences exists. Use the Tukey test to find which pairs of means are significantly different? at a = 05

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