It could be correct, depending on what other income your family has and how much tax was withheld for both ND and MI.
The amount you "owe" depends on your state tax liabilities and what state tax payments (e.g. withholding) were made throughout the year.
Without knowing your MI and ND taxable incomes and the state taxes withheld for both, it would be impossible to say whether the figures you gave would be correct.
