Create an ANOVA problem Solve and explain the created ANOVA problem

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Answer 1

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You are looking at the CGA exam and want to assess whether or not there are different success rates with students from different schools. You wanted to take a random sample of 5 students from each of 3 schools; however one student was sick and doesnt show up.

School 1	School 2	School 3
45	51	41
48	64	46
54	76	53
65	78	63
	84	72

School Mean	n	n*(x - xgrand)²
53	4	170.7378
70.6	5	612.3556
55	5	102.7556
		SSB	882.8

		School 1	School 2	School 3
45	51	41	64	384.16	196
48	64	46	25	43.56	81
54	76	53	1	29.16	4
65	78	63	144	54.76	64
	84	72		179.56	289
		Total	234	691.2	634

SSW = 1559.2

SST = 882.8 + 1559.2 = 2442

Source	SS	df	MS	F	p-value	F crit
Treatment	882.80	2	441.400	3.11	.0848	3.98
Error	1,559.20	11	141.745
Total	2,442.00	13

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: Not all means are equal

The p-value is 0.0848.

Since the p-value (0.0848) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a different success rates with students from different schools.

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Create an ANOVA problem Solve and explain the created ANOVA problem

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