Samples are collected from two independent populations to co

Samples are collected from two independent populations to conduct a hypothesis test for the difference of the means 12. If the sample size n2 from population 2 is 3 times larger than the sample size n1 from population 1, and the degrees of freedom for the test statistic is 58, then what are the sample sizes?

Solution

this is easy

df = n1 + n2 - 2

n2 is greater 3 times larger than n1

n2 =3*n1

58 = 3*n1 + n1 - 2

n1 = 15

n2 = 3*15 = 45