Question

MCQs from 1 to 12 refer to the following information:                                      [12 Marks]

An analyst is interested in testing whether three populations have equal means. The following sample data have been collected from populations that are assumed to be normally distributed with equal variances:

Sample 1	Sample 2	Sample 3
2	8	3
3	6	3
1	8	1
5	7	4

What is the value of SSB?

Select one:

a. 5.40

b. 54.0

c. 16.25

d. 70.25

What is the value of SSW?

Select one:

a. 5.40

b. 54.0

c. 16.25

d. 70.25

What is the value of SST?

Select one:

a. 5.40

b. 54.0

c. 16.25

d. 70.25

What is the degree of freedom for denominator?

Select one:

a. 3

b. 9

c. 11

d. 2

What is the value of MSB?

Select one:

a. 2.70

b. 27.0

c. 0.27

d. 1.805

What is the value of F-ratio?

Select one:

a. 149.5

b. 1.495

c. 14.95

d. 6.35

What is the critical value at 5% level of significance?

Select one:

a. 3.885

b. 3.490

c. 5.096

d. 4.256

What is the decision about Ho?

Select one:

a. Reject

b. Do not Reject

c. None

What is your conclusion?

Select one:

a. All means are equal

b. Not all means are equal

c. None

What is the q_1-α value at 5% level of significance?

Select one:

a. 3.95

b. 3.20

c. 3.77

d. 3.08

What is the value of critical range?

Select one:

a. 3.265

b. 2.653

c. 26.53

d. 3.653

Use Tukey Kramer critical range to find which two population means are equal.

Select one:

a. μ₁ =  μ₂

b. μ₂ =  μ₃

c. μ₁ =  μ₃

d. All means are equal

Answer 1

Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array):

Source	SS	df	MS	F	P value
Between	54.0000	2	27.0000	14.9538	0.001
Within	16.2500	9	1.8056
Total	70.2500	11

1)SSB =54

2) SSW =16.25

3)SST = 70.25

4)degree of freedom for denominator =2

5)MSB=27

6) F-ratio =14.95

7)  critical value at 5% level of significance =4.256

8) decision about Ho :

a. Reject

9)

b. Not all means are equal

10)a. 3.95

11) b. 2.653

12) a. μ1 =  μ2