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ANOVA #20

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Step 1: Hypothesis Formulation
𝐻0: 𝜇1 = 𝜇2 = 𝜇3 = 𝜇4
𝐻1: At least one mean number of
Debt is different from the others
(claim).
Step 2 and 3: JASP Output
ANOVA - V14734
Cases
Sum of Squares df Mean Square
New York 5.654e +7
3 1.885e +7
Residuals 5.459e +7
15 3.640e +6
F
p
5.179 0.012
η²
0.509
Note. Type III Sum of Squares
Descriptives - V14734
New York
Mean
SD
N
California
14275.200 821.006 5
New York
14309.750 1430.652 4
Pennsylvania 18327.000 2415.376 5
Virginia
14668.200 2367.532 5
Step 4: Decision
P-value < 0.05
Step 5: Conclusion
There is enough evidence that at least one mean is different from the others. At the 0.05 level of
significance, it can be concluded that there is a significant difference in the average number of debt.
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