The mean SAT Math score for a sample of $100$ students is $540$, with a population standard deviation of $60$. The mean SAT Writing score for a sample of $130$ students is $555$, with a population standard deviation of $58$. At $\alpha =0.05$, can you support the claim that SAT Writing scores are higher than SAT Math scores?

Yes, there is sufficient evidence to support the claim that SAT Writing scores are higher than SAT Math scores

No, there is insufficient evidence to support the claim that SAT Writing scores are higher than SAT Math scores

No, there is sufficient evidence to support the claim that SAT Math scores are higher than SAT Writing scores

Insufficient data