5. Consider the following (small integers, indeed for illustration while saving space) random samples from three different populations. With the null hypothesis: He: μ1- μ2 = μ3 , and the alternative: Ha: at least two of the means are not equal. At the significance level a = 0.05, the critical value from F-table is F 0.05, 2, 12 = 3.89. Sample P1 Sample P2 Sample P3 2.3 3.5 1.5 3.2 1.01 3.6 4.5 3.8 5.5 0.01 5.5 5.01 5.03 3.03 2.05

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5. Consider the following (small integers, indeed for illustration while saving space) random samples
from three different populations.
With the null hypothesis:
Ho: μ1-μ2μ3 ,
and the alternative:
Ha: at least two of the means are not equal.
At the significance level a = 0.05, the critical value from F-table is
F 0.05, 2, 12 = 3.89.
Sample P1
Sample P2
Sample P3
2.3
3.5
1.5
3.2
1.01
3.6
4.5
3.8
5.5
0.01
5.5
5.01
5.03
3.03
2.05
Transcribed Image Text:5. Consider the following (small integers, indeed for illustration while saving space) random samples from three different populations. With the null hypothesis: Ho: μ1-μ2μ3 , and the alternative: Ha: at least two of the means are not equal. At the significance level a = 0.05, the critical value from F-table is F 0.05, 2, 12 = 3.89. Sample P1 Sample P2 Sample P3 2.3 3.5 1.5 3.2 1.01 3.6 4.5 3.8 5.5 0.01 5.5 5.01 5.03 3.03 2.05
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