A marriage counselor notices that first marriages seem to last longer than remarriages. To see if this is true, she selects samples of divorced couples from first, second, and third marriages and determines the number of years each couple was married before getting divorced. Test the null hypothesis that first, second, and third marriages do not differ by marriage length before divorce.

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First Second Third Marriage Marriage Marriage 7.5 4.75 3.75 6.5 8.5 9 6.75 8.5 9.5 2.75 4 1.5 3.75 3.5