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For a hypothesis test comparing two population means, the combined degrees of freedom are $24$.

Which of the following statements about the two sample sizes is NOT true?

Sample size of sample A is $11$; sample size of sample B is $13$.

Sample size of sample A is $12$; sample size of sample B is $14$.

Sample size of sample A is $13$; sample size of sample B is $13$.

Sample size of sample A is $10$; sample size of sample B is $16$.