Statement-1: A tertiary butyl carbocation is more stable than a secondary butyl carbocation. 
Statement-2: Hyperconjugation shown by tertiary butyl carbocation as it has $9\alpha -H$ atoms

In tertiary carbocation, there are nine hyperconjugation structures, whereas, in secondary carbocation, there are only six. Thus, tertiary carbocation is more stable than secondary carbocation, according to the Hyperconjugation effect. As a result, tertiary carbocation is more stable than secondary carbocation.